Let a curve \( y=y(x) \) pass through the point \( (3,3) \) and the area of the region under thi...

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Let a curve \( y=y(x) \) pass through the point \( (3,3) \) and the area of the region under this curve, above the \( x \)-axis and between the abscissae 3 and \( x(3) \) be \( \left(\frac{y}{x}\right)^{3} \).If this curve also passes through the point \( (\alpha, 6 \sqrt{10}) \) in the first quadrant, then \( \alpha \) is equal to
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