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Finding the Third Proportional to 406,152,676 and 618,752,022

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Solution

The third proportional to 406,152,676 and 618,752,022 is: 942,635,829.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,152,676 : 618,752,022 = 618,752,022 : x
  2. Step 2: Convert to fraction form
    406,152,676/618,752,022 = 618,752,022/x
  3. Step 3: Cross multiply
    406,152,676x = 618,752,022 × 618,752,022
  4. Step 4: Simplify right side
    406,152,676x = 382,854,064,729,088,512
  5. Step 5: Solve for x
    x = 382,854,064,729,088,512/406,152,676
  6. Step 6: Final answer
    x = 942,635,829.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.