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Finding the Third Proportional to 5,207,874 and 11,446,578

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Solution

The third proportional to 5,207,874 and 11,446,578 is: 25,158,855.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207,874 : 11,446,578 = 11,446,578 : x
  2. Step 2: Convert to fraction form
    5,207,874/11,446,578 = 11,446,578/x
  3. Step 3: Cross multiply
    5,207,874x = 11,446,578 × 11,446,578
  4. Step 4: Simplify right side
    5,207,874x = 131,024,147,910,084
  5. Step 5: Solve for x
    x = 131,024,147,910,084/5,207,874
  6. Step 6: Final answer
    x = 25,158,855.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.