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Finding the Third Proportional to 14,022,504 and 20,977,716

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Solution

The third proportional to 14,022,504 and 20,977,716 is: 31,382,737.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,022,504 : 20,977,716 = 20,977,716 : x
  2. Step 2: Convert to fraction form
    14,022,504/20,977,716 = 20,977,716/x
  3. Step 3: Cross multiply
    14,022,504x = 20,977,716 × 20,977,716
  4. Step 4: Simplify right side
    14,022,504x = 440,064,568,576,656
  5. Step 5: Solve for x
    x = 440,064,568,576,656/14,022,504
  6. Step 6: Final answer
    x = 31,382,737.96

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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.