Solve the following equations: $x^{3}y^{2}z = 12, x^{3}yz^{3} = 54, x^{7}y^{3}z^{2} = 72$.
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Solve the following equations: $x^{3}y^{2}z = 12, x^{3}yz^{3} = 54, x^{7}y^{3}z^{2} = 72$.