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Finding the Third Proportional to 31,799,651 and 68,635,233

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Solution

The third proportional to 31,799,651 and 68,635,233 is: 148,139,839.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,799,651 : 68,635,233 = 68,635,233 : x
  2. Step 2: Convert to fraction form
    31,799,651/68,635,233 = 68,635,233/x
  3. Step 3: Cross multiply
    31,799,651x = 68,635,233 × 68,635,233
  4. Step 4: Simplify right side
    31,799,651x = 4,710,795,208,964,289
  5. Step 5: Solve for x
    x = 4,710,795,208,964,289/31,799,651
  6. Step 6: Final answer
    x = 148,139,839.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.