Answer
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Step 1:I'll solve this problem step by step, using precise calculations and LaTeX formatting:
Step 2:: Determine the volumes of Earth and the Sun
To find how many Earths can fit inside the Sun, we'll compare their volumes using the formula for the volume of a sphere: $$V = \frac{4}{3}\pi r^{3}
Step 3:: Gather radius data
- Earth's radius: $$R_{Earth} = 6,371 \text{ km}
- Sun's radius: R_{Sun} = 696,340 \text{ km}
Step 4:: Calculate Earth's volume
V_{Earth} = \frac{4}{3}\pi(6,371)^{3} = 1.08 \times 10^{12} \text{ km}^{3}
Step 5:: Calculate Sun's volume
V_{Sun} = \frac{4}{3}\pi(696,340)^{3} = 1.41 \times 10^{18} \text{ km}^{3}
Step 6:: Calculate the number of Earths that can fit in the Sun
\text{Number of Earths} = \frac{V_{Sun}}{V_{Earth}} = \frac{1.41 \times 10^{18}}{1.08 \times 10^{12}} = 1,330,000
Final Answer
Approximately 1.33 million Earths can fit inside the Sun.
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