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Finding the Third Proportional to 10,438,314 and 22,493,217

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Solution

The third proportional to 10,438,314 and 22,493,217 is: 48,469,974.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438,314 : 22,493,217 = 22,493,217 : x
  2. Step 2: Convert to fraction form
    10,438,314/22,493,217 = 22,493,217/x
  3. Step 3: Cross multiply
    10,438,314x = 22,493,217 × 22,493,217
  4. Step 4: Simplify right side
    10,438,314x = 505,944,811,009,089
  5. Step 5: Solve for x
    x = 505,944,811,009,089/10,438,314
  6. Step 6: Final answer
    x = 48,469,974.27

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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.