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Finding the Third Proportional to 31,253,076 and 67,306,365

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Solution

The third proportional to 31,253,076 and 67,306,365 is: 144,950,428.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,253,076 : 67,306,365 = 67,306,365 : x
  2. Step 2: Convert to fraction form
    31,253,076/67,306,365 = 67,306,365/x
  3. Step 3: Cross multiply
    31,253,076x = 67,306,365 × 67,306,365
  4. Step 4: Simplify right side
    31,253,076x = 4,530,146,769,513,225
  5. Step 5: Solve for x
    x = 4,530,146,769,513,225/31,253,076
  6. Step 6: Final answer
    x = 144,950,428.86

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Why These Related Problems?

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