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Finding the Third Proportional to 5,209,170 and 11,260,524

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Solution

The third proportional to 5,209,170 and 11,260,524 is: 24,341,574.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209,170 : 11,260,524 = 11,260,524 : x
  2. Step 2: Convert to fraction form
    5,209,170/11,260,524 = 11,260,524/x
  3. Step 3: Cross multiply
    5,209,170x = 11,260,524 × 11,260,524
  4. Step 4: Simplify right side
    5,209,170x = 126,799,400,754,576
  5. Step 5: Solve for x
    x = 126,799,400,754,576/5,209,170
  6. Step 6: Final answer
    x = 24,341,574.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.