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Finding the Third Proportional to 4,193,613 and 9,187,620.75

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Solution

The third proportional to 4,193,613 and 9,187,620.75 is: 20,128,794.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193,613 : 9,187,620.75 = 9,187,620.75 : x
  2. Step 2: Convert to fraction form
    4,193,613/9,187,620.75 = 9,187,620.75/x
  3. Step 3: Cross multiply
    4,193,613x = 9,187,620.75 × 9,187,620.75
  4. Step 4: Simplify right side
    4,193,613x = 84,412,375,045,830.56
  5. Step 5: Solve for x
    x = 84,412,375,045,830.56/4,193,613
  6. Step 6: Final answer
    x = 20,128,794.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.