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Finding the Third Proportional to 13,869,864 and 18,403,824

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Solution

The third proportional to 13,869,864 and 18,403,824 is: 24,419,903.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,869,864 : 18,403,824 = 18,403,824 : x
  2. Step 2: Convert to fraction form
    13,869,864/18,403,824 = 18,403,824/x
  3. Step 3: Cross multiply
    13,869,864x = 18,403,824 × 18,403,824
  4. Step 4: Simplify right side
    13,869,864x = 338,700,737,822,976
  5. Step 5: Solve for x
    x = 338,700,737,822,976/13,869,864
  6. Step 6: Final answer
    x = 24,419,903.31

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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.