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Finding the Third Proportional to 22,952,803.50 and 48,496,107

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Solution

The third proportional to 22,952,803.50 and 48,496,107 is: 102,465,583.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952,803.50 : 48,496,107 = 48,496,107 : x
  2. Step 2: Convert to fraction form
    22,952,803.50/48,496,107 = 48,496,107/x
  3. Step 3: Cross multiply
    22,952,803.50x = 48,496,107 × 48,496,107
  4. Step 4: Simplify right side
    22,952,803.50x = 2,351,872,394,155,449
  5. Step 5: Solve for x
    x = 2,351,872,394,155,449/22,952,803.50
  6. Step 6: Final answer
    x = 102,465,583.09

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.