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Finding the Third Proportional to 13,850,847 and 20,698,744.50

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Solution

The third proportional to 13,850,847 and 20,698,744.50 is: 30,932,261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850,847 : 20,698,744.50 = 20,698,744.50 : x
  2. Step 2: Convert to fraction form
    13,850,847/20,698,744.50 = 20,698,744.50/x
  3. Step 3: Cross multiply
    13,850,847x = 20,698,744.50 × 20,698,744.50
  4. Step 4: Simplify right side
    13,850,847x = 428,438,023,876,280.25
  5. Step 5: Solve for x
    x = 428,438,023,876,280.25/13,850,847
  6. Step 6: Final answer
    x = 30,932,261.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.