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Finding the Third Proportional to 13,729,674 and 18,646,434

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Solution

The third proportional to 13,729,674 and 18,646,434 is: 25,323,944.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729,674 : 18,646,434 = 18,646,434 : x
  2. Step 2: Convert to fraction form
    13,729,674/18,646,434 = 18,646,434/x
  3. Step 3: Cross multiply
    13,729,674x = 18,646,434 × 18,646,434
  4. Step 4: Simplify right side
    13,729,674x = 347,689,500,916,356
  5. Step 5: Solve for x
    x = 347,689,500,916,356/13,729,674
  6. Step 6: Final answer
    x = 25,323,944.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.