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Finding the Third Proportional to 5,291,909 and 11,480,002

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Solution

The third proportional to 5,291,909 and 11,480,002 is: 24,904,140.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291,909 : 11,480,002 = 11,480,002 : x
  2. Step 2: Convert to fraction form
    5,291,909/11,480,002 = 11,480,002/x
  3. Step 3: Cross multiply
    5,291,909x = 11,480,002 × 11,480,002
  4. Step 4: Simplify right side
    5,291,909x = 131,790,445,920,004
  5. Step 5: Solve for x
    x = 131,790,445,920,004/5,291,909
  6. Step 6: Final answer
    x = 24,904,140.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.