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Finding the Third Proportional to 61,327,864 and 124,457,816

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Solution

The third proportional to 61,327,864 and 124,457,816 is: 252,572,761.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,327,864 : 124,457,816 = 124,457,816 : x
  2. Step 2: Convert to fraction form
    61,327,864/124,457,816 = 124,457,816/x
  3. Step 3: Cross multiply
    61,327,864x = 124,457,816 × 124,457,816
  4. Step 4: Simplify right side
    61,327,864x = 15,489,747,963,489,856
  5. Step 5: Solve for x
    x = 15,489,747,963,489,856/61,327,864
  6. Step 6: Final answer
    x = 252,572,761.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.