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Finding the Third Proportional to 38,108,996 and 81,133,876

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Solution

The third proportional to 38,108,996 and 81,133,876 is: 172,733,646.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,108,996 : 81,133,876 = 81,133,876 : x
  2. Step 2: Convert to fraction form
    38,108,996/81,133,876 = 81,133,876/x
  3. Step 3: Cross multiply
    38,108,996x = 81,133,876 × 81,133,876
  4. Step 4: Simplify right side
    38,108,996x = 6,582,705,834,783,376
  5. Step 5: Solve for x
    x = 6,582,705,834,783,376/38,108,996
  6. Step 6: Final answer
    x = 172,733,646.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.