Tangent circles

Geometry Level 4

Two circles are tangent to each other, and their diameters d1d_1 and d2 d_2 satisfy d1×d2=36d_1 \times d_2=36.
Segment ABAB is tangent to both circles. Find the length of ABAB.

If you think that the length of ABAB depends on the relative values of d1d_1 and d2 d_2, submit your answer as 9999.

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