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Finding the Third Proportional to 2,378,049.75 and 5,092,401.38

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Solution

The third proportional to 2,378,049.75 and 5,092,401.38 is: 10,904,966.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378,049.75 : 5,092,401.38 = 5,092,401.38 : x
  2. Step 2: Convert to fraction form
    2,378,049.75/5,092,401.38 = 5,092,401.38/x
  3. Step 3: Cross multiply
    2,378,049.75x = 5,092,401.38 × 5,092,401.38
  4. Step 4: Simplify right side
    2,378,049.75x = 25,932,551,764,101.89
  5. Step 5: Solve for x
    x = 25,932,551,764,101.89/2,378,049.75
  6. Step 6: Final answer
    x = 10,904,966.04

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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.