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Finding the Third Proportional to 32,729,832 and 68,910,264

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Solution

The third proportional to 32,729,832 and 68,910,264 is: 145,085,513.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,729,832 : 68,910,264 = 68,910,264 : x
  2. Step 2: Convert to fraction form
    32,729,832/68,910,264 = 68,910,264/x
  3. Step 3: Cross multiply
    32,729,832x = 68,910,264 × 68,910,264
  4. Step 4: Simplify right side
    32,729,832x = 4,748,624,484,549,696
  5. Step 5: Solve for x
    x = 4,748,624,484,549,696/32,729,832
  6. Step 6: Final answer
    x = 145,085,513.56

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.