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Finding the Third Proportional to 9,220,910 and 19,862,234

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Solution

The third proportional to 9,220,910 and 19,862,234 is: 42,784,100.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220,910 : 19,862,234 = 19,862,234 : x
  2. Step 2: Convert to fraction form
    9,220,910/19,862,234 = 19,862,234/x
  3. Step 3: Cross multiply
    9,220,910x = 19,862,234 × 19,862,234
  4. Step 4: Simplify right side
    9,220,910x = 394,508,339,470,756
  5. Step 5: Solve for x
    x = 394,508,339,470,756/9,220,910
  6. Step 6: Final answer
    x = 42,784,100.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.