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Finding the Third Proportional to 31,491,174 and 67,812,108

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Solution

The third proportional to 31,491,174 and 67,812,108 is: 146,024,469.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,491,174 : 67,812,108 = 67,812,108 : x
  2. Step 2: Convert to fraction form
    31,491,174/67,812,108 = 67,812,108/x
  3. Step 3: Cross multiply
    31,491,174x = 67,812,108 × 67,812,108
  4. Step 4: Simplify right side
    31,491,174x = 4,598,481,991,403,664
  5. Step 5: Solve for x
    x = 4,598,481,991,403,664/31,491,174
  6. Step 6: Final answer
    x = 146,024,469.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.