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Finding the Third Proportional to 14,022,538 and 20,977,764

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Solution

The third proportional to 14,022,538 and 20,977,764 is: 31,382,805.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,022,538 : 20,977,764 = 20,977,764 : x
  2. Step 2: Convert to fraction form
    14,022,538/20,977,764 = 20,977,764/x
  3. Step 3: Cross multiply
    14,022,538x = 20,977,764 × 20,977,764
  4. Step 4: Simplify right side
    14,022,538x = 440,066,582,439,696
  5. Step 5: Solve for x
    x = 440,066,582,439,696/14,022,538
  6. Step 6: Final answer
    x = 31,382,805.48

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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.