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Finding the Third Proportional to 4,199,042.25 and 9,211,647.75

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Solution

The third proportional to 4,199,042.25 and 9,211,647.75 is: 20,208,049.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199,042.25 : 9,211,647.75 = 9,211,647.75 : x
  2. Step 2: Convert to fraction form
    4,199,042.25/9,211,647.75 = 9,211,647.75/x
  3. Step 3: Cross multiply
    4,199,042.25x = 9,211,647.75 × 9,211,647.75
  4. Step 4: Simplify right side
    4,199,042.25x = 84,854,454,270,080.06
  5. Step 5: Solve for x
    x = 84,854,454,270,080.06/4,199,042.25
  6. Step 6: Final answer
    x = 20,208,049.65

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