The scale of a map \(A\) is \(2:a\) and the scale of map \(B\) is \(b:3\). If the area of a stadium is measured by \(12\) \(\mathrm{cm}^2\) and \(21\frac{1}{3}\) \(\mathrm{cm}^2\) on maps \(A\) and \(B\) respectively, find the value of \(ab\).
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