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Finding the Third Proportional to 6,023,578.50 and 11,744,514

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Solution

The third proportional to 6,023,578.50 and 11,744,514 is: 22,898,947.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,023,578.50 : 11,744,514 = 11,744,514 : x
  2. Step 2: Convert to fraction form
    6,023,578.50/11,744,514 = 11,744,514/x
  3. Step 3: Cross multiply
    6,023,578.50x = 11,744,514 × 11,744,514
  4. Step 4: Simplify right side
    6,023,578.50x = 137,933,609,096,196
  5. Step 5: Solve for x
    x = 137,933,609,096,196/6,023,578.50
  6. Step 6: Final answer
    x = 22,898,947.71

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.