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Finding the Third Proportional to 4,751,847 and 7,361,234

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Solution

The third proportional to 4,751,847 and 7,361,234 is: 11,403,516.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751,847 : 7,361,234 = 7,361,234 : x
  2. Step 2: Convert to fraction form
    4,751,847/7,361,234 = 7,361,234/x
  3. Step 3: Cross multiply
    4,751,847x = 7,361,234 × 7,361,234
  4. Step 4: Simplify right side
    4,751,847x = 54,187,766,002,756
  5. Step 5: Solve for x
    x = 54,187,766,002,756/4,751,847
  6. Step 6: Final answer
    x = 11,403,516.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.