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Finding the Third Proportional to 10,999,367 and 16,161,930

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Solution

The third proportional to 10,999,367 and 16,161,930 is: 23,747,546.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999,367 : 16,161,930 = 16,161,930 : x
  2. Step 2: Convert to fraction form
    10,999,367/16,161,930 = 16,161,930/x
  3. Step 3: Cross multiply
    10,999,367x = 16,161,930 × 16,161,930
  4. Step 4: Simplify right side
    10,999,367x = 261,207,981,324,900
  5. Step 5: Solve for x
    x = 261,207,981,324,900/10,999,367
  6. Step 6: Final answer
    x = 23,747,546.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.