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Finding the Third Proportional to 18,123,923 and 27,449,117

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Solution

The third proportional to 18,123,923 and 27,449,117 is: 41,572,347.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,123,923 : 27,449,117 = 27,449,117 : x
  2. Step 2: Convert to fraction form
    18,123,923/27,449,117 = 27,449,117/x
  3. Step 3: Cross multiply
    18,123,923x = 27,449,117 × 27,449,117
  4. Step 4: Simplify right side
    18,123,923x = 753,454,024,079,689
  5. Step 5: Solve for x
    x = 753,454,024,079,689/18,123,923
  6. Step 6: Final answer
    x = 41,572,347.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.