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A millilitre (ml) is a measure of volume, with dimensions [L3]. A milligram (mg) is a measure of mass, with dimensions [M]. The two measure different things and so they are not the same. Furthermore, basic dimensional analysis teaches that you cannot convert between measures with different dimensions such as these without additional information.

As a simple mental exercise consider a millilitre of air and a millilitre of water. They will have very different masses.

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