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Finding the Third Proportional to 41,431,878 and 57,607,730

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Solution

The third proportional to 41,431,878 and 57,607,730 is: 80,098,965.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,431,878 : 57,607,730 = 57,607,730 : x
  2. Step 2: Convert to fraction form
    41,431,878/57,607,730 = 57,607,730/x
  3. Step 3: Cross multiply
    41,431,878x = 57,607,730 × 57,607,730
  4. Step 4: Simplify right side
    41,431,878x = 3,318,650,555,752,900
  5. Step 5: Solve for x
    x = 3,318,650,555,752,900/41,431,878
  6. Step 6: Final answer
    x = 80,098,965.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.