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Finding the Third Proportional to 31,747,224 and 68,906,544

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Solution

The third proportional to 31,747,224 and 68,906,544 is: 149,559,905.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,747,224 : 68,906,544 = 68,906,544 : x
  2. Step 2: Convert to fraction form
    31,747,224/68,906,544 = 68,906,544/x
  3. Step 3: Cross multiply
    31,747,224x = 68,906,544 × 68,906,544
  4. Step 4: Simplify right side
    31,747,224x = 4,748,111,806,023,936
  5. Step 5: Solve for x
    x = 4,748,111,806,023,936/31,747,224
  6. Step 6: Final answer
    x = 149,559,905.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.