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Finding the Third Proportional to 4,625,788.50 and 10,174,218.75

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Solution

The third proportional to 4,625,788.50 and 10,174,218.75 is: 22,377,747.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,625,788.50 : 10,174,218.75 = 10,174,218.75 : x
  2. Step 2: Convert to fraction form
    4,625,788.50/10,174,218.75 = 10,174,218.75/x
  3. Step 3: Cross multiply
    4,625,788.50x = 10,174,218.75 × 10,174,218.75
  4. Step 4: Simplify right side
    4,625,788.50x = 103,514,727,172,851.56
  5. Step 5: Solve for x
    x = 103,514,727,172,851.56/4,625,788.50
  6. Step 6: Final answer
    x = 22,377,747.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.