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Finding the Third Proportional to 8,419,900 and 11,731,014

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Solution

The third proportional to 8,419,900 and 11,731,014 is: 16,344,218.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419,900 : 11,731,014 = 11,731,014 : x
  2. Step 2: Convert to fraction form
    8,419,900/11,731,014 = 11,731,014/x
  3. Step 3: Cross multiply
    8,419,900x = 11,731,014 × 11,731,014
  4. Step 4: Simplify right side
    8,419,900x = 137,616,689,468,196
  5. Step 5: Solve for x
    x = 137,616,689,468,196/8,419,900
  6. Step 6: Final answer
    x = 16,344,218.99

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.