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Finding the Third Proportional to 2,005,286.34 and 4,330,147.78

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Solution

The third proportional to 2,005,286.34 and 4,330,147.78 is: 9,350,375.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,286.34 : 4,330,147.78 = 4,330,147.78 : x
  2. Step 2: Convert to fraction form
    2,005,286.34/4,330,147.78 = 4,330,147.78/x
  3. Step 3: Cross multiply
    2,005,286.34x = 4,330,147.78 × 4,330,147.78
  4. Step 4: Simplify right side
    2,005,286.34x = 18,750,179,807,464.30
  5. Step 5: Solve for x
    x = 18,750,179,807,464.30/2,005,286.34
  6. Step 6: Final answer
    x = 9,350,375.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.