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Finding the Third Proportional to 8,386,903 and 18,344,073

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Solution

The third proportional to 8,386,903 and 18,344,073 is: 40,122,678.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386,903 : 18,344,073 = 18,344,073 : x
  2. Step 2: Convert to fraction form
    8,386,903/18,344,073 = 18,344,073/x
  3. Step 3: Cross multiply
    8,386,903x = 18,344,073 × 18,344,073
  4. Step 4: Simplify right side
    8,386,903x = 336,505,014,229,329
  5. Step 5: Solve for x
    x = 336,505,014,229,329/8,386,903
  6. Step 6: Final answer
    x = 40,122,678.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.