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Finding the Third Proportional to 2,338,186.50 and 5,024,469

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Solution

The third proportional to 2,338,186.50 and 5,024,469 is: 10,796,952.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338,186.50 : 5,024,469 = 5,024,469 : x
  2. Step 2: Convert to fraction form
    2,338,186.50/5,024,469 = 5,024,469/x
  3. Step 3: Cross multiply
    2,338,186.50x = 5,024,469 × 5,024,469
  4. Step 4: Simplify right side
    2,338,186.50x = 25,245,288,731,961
  5. Step 5: Solve for x
    x = 25,245,288,731,961/2,338,186.50
  6. Step 6: Final answer
    x = 10,796,952.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.