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Finding the Third Proportional to 2,697,632 and 5,777,908

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Solution

The third proportional to 2,697,632 and 5,777,908 is: 12,375,379.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697,632 : 5,777,908 = 5,777,908 : x
  2. Step 2: Convert to fraction form
    2,697,632/5,777,908 = 5,777,908/x
  3. Step 3: Cross multiply
    2,697,632x = 5,777,908 × 5,777,908
  4. Step 4: Simplify right side
    2,697,632x = 33,384,220,856,464
  5. Step 5: Solve for x
    x = 33,384,220,856,464/2,697,632
  6. Step 6: Final answer
    x = 12,375,379.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.