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Finding the Third Proportional to 9,981,965 and 20,435,958

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Solution

The third proportional to 9,981,965 and 20,435,958 is: 41,838,293.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981,965 : 20,435,958 = 20,435,958 : x
  2. Step 2: Convert to fraction form
    9,981,965/20,435,958 = 20,435,958/x
  3. Step 3: Cross multiply
    9,981,965x = 20,435,958 × 20,435,958
  4. Step 4: Simplify right side
    9,981,965x = 417,628,379,377,764
  5. Step 5: Solve for x
    x = 417,628,379,377,764/9,981,965
  6. Step 6: Final answer
    x = 41,838,293.30

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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.