If the Earth was to shrink down so as to form a black hole, what would be the black hole's (approximate) radius?

###### Image credit : Wikimedia Alain r.

Enter your answer in millimeters.

**Details and Assumptions**:

\(M_{e} = 6 \times 10^{24} \text{ kg}\).

\(G = 6.67 \times 10^{-11} \text{ N m}^{2}\text{ kg}^{-2}\).

\(c = 3 \times 10^{8} \text{ ms}^{-1}\).

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