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Finding the Third Proportional to 31,777,839 and 67,369,056.75

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Solution

The third proportional to 31,777,839 and 67,369,056.75 is: 142,822,481.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,777,839 : 67,369,056.75 = 67,369,056.75 : x
  2. Step 2: Convert to fraction form
    31,777,839/67,369,056.75 = 67,369,056.75/x
  3. Step 3: Cross multiply
    31,777,839x = 67,369,056.75 × 67,369,056.75
  4. Step 4: Simplify right side
    31,777,839x = 4,538,589,807,384,721
  5. Step 5: Solve for x
    x = 4,538,589,807,384,721/31,777,839
  6. Step 6: Final answer
    x = 142,822,481.02

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.