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Finding the Third Proportional to 11,876,788.50 and 25,433,193

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Solution

The third proportional to 11,876,788.50 and 25,433,193 is: 54,463,149.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876,788.50 : 25,433,193 = 25,433,193 : x
  2. Step 2: Convert to fraction form
    11,876,788.50/25,433,193 = 25,433,193/x
  3. Step 3: Cross multiply
    11,876,788.50x = 25,433,193 × 25,433,193
  4. Step 4: Simplify right side
    11,876,788.50x = 646,847,306,175,249
  5. Step 5: Solve for x
    x = 646,847,306,175,249/11,876,788.50
  6. Step 6: Final answer
    x = 54,463,149.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.