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Finding the Third Proportional to 31,156,425 and 68,291,442

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Solution

The third proportional to 31,156,425 and 68,291,442 is: 149,687,297.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,156,425 : 68,291,442 = 68,291,442 : x
  2. Step 2: Convert to fraction form
    31,156,425/68,291,442 = 68,291,442/x
  3. Step 3: Cross multiply
    31,156,425x = 68,291,442 × 68,291,442
  4. Step 4: Simplify right side
    31,156,425x = 4,663,721,050,439,364
  5. Step 5: Solve for x
    x = 4,663,721,050,439,364/31,156,425
  6. Step 6: Final answer
    x = 149,687,297.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.