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Finding the Third Proportional to 13,869,498 and 18,403,245

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Solution

The third proportional to 13,869,498 and 18,403,245 is: 24,419,011.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,869,498 : 18,403,245 = 18,403,245 : x
  2. Step 2: Convert to fraction form
    13,869,498/18,403,245 = 18,403,245/x
  3. Step 3: Cross multiply
    13,869,498x = 18,403,245 × 18,403,245
  4. Step 4: Simplify right side
    13,869,498x = 338,679,426,530,025
  5. Step 5: Solve for x
    x = 338,679,426,530,025/13,869,498
  6. Step 6: Final answer
    x = 24,419,011.17

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.