Finding the Third Proportional to 378,128,844 and 820,792,008
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Solution
The third proportional to 378,128,844 and 820,792,008 is: 1,781,666,569.71
Step by Step Solution
- Step 1: Write the proportion equation
378,128,844 : 820,792,008 = 820,792,008 : x - Step 2: Convert to fraction form
378,128,844/820,792,008 = 820,792,008/x - Step 3: Cross multiply
378,128,844x = 820,792,008 × 820,792,008 - Step 4: Simplify right side
378,128,844x = 673,699,520,396,672,000 - Step 5: Solve for x
x = 673,699,520,396,672,000/378,128,844 - Step 6: Final answer
x = 1,781,666,569.71
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.