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\[\large {a^3 = 3(a^2 +b^2) - 25\\ b^3 = 3(b^2 +c^2) - 25\\ c^3 = 3(c^2+a^2) - 25}\]

If \(a, b, c \) are positive reals that satisfy the above system of equations, find \(abc\).

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