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Finding the Third Proportional to 18,123,678 and 27,448,746

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Solution

The third proportional to 18,123,678 and 27,448,746 is: 41,571,785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,123,678 : 27,448,746 = 27,448,746 : x
  2. Step 2: Convert to fraction form
    18,123,678/27,448,746 = 27,448,746/x
  3. Step 3: Cross multiply
    18,123,678x = 27,448,746 × 27,448,746
  4. Step 4: Simplify right side
    18,123,678x = 753,433,656,972,516
  5. Step 5: Solve for x
    x = 753,433,656,972,516/18,123,678
  6. Step 6: Final answer
    x = 41,571,785.65

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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.