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Three no.s in the ratio 1:2:3. The sum of their cubes is 62208.find the numbers with working. plzzzzzz answer fast

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Let the 3 numbers denoted by x, y, and zx:y:z = 1:2:3x/y = 1/2 ; x/z = 1/3y = 2x ; z =3xx^3 + y^3 + z^3 = 62208x^3 + (2x)^3 + (3x)^3 = 6220836x^3 = 62208x = 12y = 2x = 24z = 3x = 36

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