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Geometry Level 3

In the image below, all the circles have the same diameter, the central circle is tangent to all other circles, and the other circles are tangent to the rectangle \(ABCD\) (in 2 points), to the central circle and to the circle that is its borderer. Is given that \(AB = 6 \ cm\).

Determine the value of \(BC\) in \(cm\).

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