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The easiest way would be to make a bushing with the same ID as the OD of the shaft and the OD as the ID of the pinion. If there is no great load on it a press fit might suffice. If there is a heavy load, the bushing and shafts would need to be keyed to prevent spinning. This is assuming that we are not talking about an automobile ring and pinion gear. The loads and stresses imposed on an automobile ring and pinion are too great.

ID = inside diameter

OD = outside diameter

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