Final answer:
The diameter of the grain of sand increased from 0.00002 m to 0.006 m, making it approximately 300 times larger than it was originally.
Step-by-step explanation:
The question is asking how many times larger the diameter of a grain of sand is after a wizard named Harvey Porter has enlarged it. Originally, the grain of sand had a diameter of 0.00002 m and it increased to a diameter of 0.006 m.
To find out how many times larger the new diameter is compared to the original, we divide the new diameter by the original diameter:
0.006 m / 0.00002 m = 300 times larger.
Therefore, the diameter of the grain of sand is now approximately 300 times as large as it was before Harvey Porter waved his wand.