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Cho a/b = c/d

Cho a/b=c/d
Chứng minh ac/bd=2023a^2+2024c^2/2023b^2+2024d^2
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Ta có: a/b = c/d

Đặt x = ac/bd

Ta có: x = ac/bd = (a/b) * (c/d) = (c/a) * (a/b) * (d/c) * (c/d) = (c/a) * (d/c) = d/a

Vậy x = d/a

Ta có: 2023a^2 + 2024c^2 = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) = 2023(a^2) + 2024(c^2) =

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