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Finding the Third Proportional to 9,981,972 and 20,435,970

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Solution

The third proportional to 9,981,972 and 20,435,970 is: 41,838,313.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981,972 : 20,435,970 = 20,435,970 : x
  2. Step 2: Convert to fraction form
    9,981,972/20,435,970 = 20,435,970/x
  3. Step 3: Cross multiply
    9,981,972x = 20,435,970 × 20,435,970
  4. Step 4: Simplify right side
    9,981,972x = 417,628,869,840,900
  5. Step 5: Solve for x
    x = 417,628,869,840,900/9,981,972
  6. Step 6: Final answer
    x = 41,838,313.09

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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.