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Finding the Third Proportional to 9,981,961 and 20,435,949

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Solution

The third proportional to 9,981,961 and 20,435,949 is: 41,838,273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981,961 : 20,435,949 = 20,435,949 : x
  2. Step 2: Convert to fraction form
    9,981,961/20,435,949 = 20,435,949/x
  3. Step 3: Cross multiply
    9,981,961x = 20,435,949 × 20,435,949
  4. Step 4: Simplify right side
    9,981,961x = 417,628,011,530,601
  5. Step 5: Solve for x
    x = 417,628,011,530,601/9,981,961
  6. Step 6: Final answer
    x = 41,838,273.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.