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Finding the Third Proportional to 5,207,424 and 10,974,720

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Solution

The third proportional to 5,207,424 and 10,974,720 is: 23,129,378.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207,424 : 10,974,720 = 10,974,720 : x
  2. Step 2: Convert to fraction form
    5,207,424/10,974,720 = 10,974,720/x
  3. Step 3: Cross multiply
    5,207,424x = 10,974,720 × 10,974,720
  4. Step 4: Simplify right side
    5,207,424x = 120,444,479,078,400
  5. Step 5: Solve for x
    x = 120,444,479,078,400/5,207,424
  6. Step 6: Final answer
    x = 23,129,378.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.