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Finding the Third Proportional to 5,190,675 and 11,358,414

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Solution

The third proportional to 5,190,675 and 11,358,414 is: 24,854,873.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190,675 : 11,358,414 = 11,358,414 : x
  2. Step 2: Convert to fraction form
    5,190,675/11,358,414 = 11,358,414/x
  3. Step 3: Cross multiply
    5,190,675x = 11,358,414 × 11,358,414
  4. Step 4: Simplify right side
    5,190,675x = 129,013,568,595,396
  5. Step 5: Solve for x
    x = 129,013,568,595,396/5,190,675
  6. Step 6: Final answer
    x = 24,854,873.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.