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Finding the Third Proportional to 14,031,998 and 20,990,775

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Solution

The third proportional to 14,031,998 and 20,990,775 is: 31,400,562.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,031,998 : 20,990,775 = 20,990,775 : x
  2. Step 2: Convert to fraction form
    14,031,998/20,990,775 = 20,990,775/x
  3. Step 3: Cross multiply
    14,031,998x = 20,990,775 × 20,990,775
  4. Step 4: Simplify right side
    14,031,998x = 440,612,635,100,625
  5. Step 5: Solve for x
    x = 440,612,635,100,625/14,031,998
  6. Step 6: Final answer
    x = 31,400,562.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.