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Finding the Third Proportional to 6,175,912 and 13,608,296

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Solution

The third proportional to 6,175,912 and 13,608,296 is: 29,985,161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175,912 : 13,608,296 = 13,608,296 : x
  2. Step 2: Convert to fraction form
    6,175,912/13,608,296 = 13,608,296/x
  3. Step 3: Cross multiply
    6,175,912x = 13,608,296 × 13,608,296
  4. Step 4: Simplify right side
    6,175,912x = 185,185,720,023,616
  5. Step 5: Solve for x
    x = 185,185,720,023,616/6,175,912
  6. Step 6: Final answer
    x = 29,985,161.71

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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.