The diagram shows three circles that are tangent to each other.

The diameters of the circles are \(2\), \(3\), and \(6\).

The endpoints of the chord are the points of tangency of the smaller circles and the largest circle.

Find the length of the chord.

The diameters of the circles are \(2\), \(3\), and \(6\).

The endpoints of the chord are the points of tangency of the smaller circles and the largest circle.

Find the length of the chord.

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