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Finding the Third Proportional to 31,841,970 and 68,227,434

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Solution

The third proportional to 31,841,970 and 68,227,434 is: 146,190,161.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,841,970 : 68,227,434 = 68,227,434 : x
  2. Step 2: Convert to fraction form
    31,841,970/68,227,434 = 68,227,434/x
  3. Step 3: Cross multiply
    31,841,970x = 68,227,434 × 68,227,434
  4. Step 4: Simplify right side
    31,841,970x = 4,654,982,750,224,356
  5. Step 5: Solve for x
    x = 4,654,982,750,224,356/31,841,970
  6. Step 6: Final answer
    x = 146,190,161.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.