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Finding the Third Proportional to 14,022,469.13 and 20,977,677

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Solution

The third proportional to 14,022,469.13 and 20,977,677 is: 31,382,699.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,022,469.13 : 20,977,677 = 20,977,677 : x
  2. Step 2: Convert to fraction form
    14,022,469.13/20,977,677 = 20,977,677/x
  3. Step 3: Cross multiply
    14,022,469.13x = 20,977,677 × 20,977,677
  4. Step 4: Simplify right side
    14,022,469.13x = 440,062,932,316,329
  5. Step 5: Solve for x
    x = 440,062,932,316,329/14,022,469.13
  6. Step 6: Final answer
    x = 31,382,699.32

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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.