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Finding the Third Proportional to 33,776,623 and 68,493,126

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Solution

The third proportional to 33,776,623 and 68,493,126 is: 138,892,165.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,776,623 : 68,493,126 = 68,493,126 : x
  2. Step 2: Convert to fraction form
    33,776,623/68,493,126 = 68,493,126/x
  3. Step 3: Cross multiply
    33,776,623x = 68,493,126 × 68,493,126
  4. Step 4: Simplify right side
    33,776,623x = 4,691,308,309,251,876
  5. Step 5: Solve for x
    x = 4,691,308,309,251,876/33,776,623
  6. Step 6: Final answer
    x = 138,892,165.43

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.