Two circles of unit radii are present in a plane with their centres \(P\) and \(Q\) such that \(PQ = 6 \text{ units}\).

Another circle with radius \(R\) such that \(R>2\) is externally tangent to the other two circles.

A common tangent to all three circles passes through the mid point of \(PQ\).

Find \(R\)

(This problem is not original)

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