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Finding the Third Proportional to 5,101,839 and 7,800,997.50

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Solution

The third proportional to 5,101,839 and 7,800,997.50 is: 11,928,161.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101,839 : 7,800,997.50 = 7,800,997.50 : x
  2. Step 2: Convert to fraction form
    5,101,839/7,800,997.50 = 7,800,997.50/x
  3. Step 3: Cross multiply
    5,101,839x = 7,800,997.50 × 7,800,997.50
  4. Step 4: Simplify right side
    5,101,839x = 60,855,561,995,006.25
  5. Step 5: Solve for x
    x = 60,855,561,995,006.25/5,101,839
  6. Step 6: Final answer
    x = 11,928,161.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.