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Finding the Third Proportional to 406,152,672 and 618,752,016

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Solution

The third proportional to 406,152,672 and 618,752,016 is: 942,635,820.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,152,672 : 618,752,016 = 618,752,016 : x
  2. Step 2: Convert to fraction form
    406,152,672/618,752,016 = 618,752,016/x
  3. Step 3: Cross multiply
    406,152,672x = 618,752,016 × 618,752,016
  4. Step 4: Simplify right side
    406,152,672x = 382,854,057,304,064,256
  5. Step 5: Solve for x
    x = 382,854,057,304,064,256/406,152,672
  6. Step 6: Final answer
    x = 942,635,820.71

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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.