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Finding the Third Proportional to 7,766,876 and 17,026,744

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Solution

The third proportional to 7,766,876 and 17,026,744 is: 37,326,463.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766,876 : 17,026,744 = 17,026,744 : x
  2. Step 2: Convert to fraction form
    7,766,876/17,026,744 = 17,026,744/x
  3. Step 3: Cross multiply
    7,766,876x = 17,026,744 × 17,026,744
  4. Step 4: Simplify right side
    7,766,876x = 289,910,011,241,536
  5. Step 5: Solve for x
    x = 289,910,011,241,536/7,766,876
  6. Step 6: Final answer
    x = 37,326,463.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.