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Finding the Third Proportional to 2,008,161 and 4,414,902.75

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Solution

The third proportional to 2,008,161 and 4,414,902.75 is: 9,706,077.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008,161 : 4,414,902.75 = 4,414,902.75 : x
  2. Step 2: Convert to fraction form
    2,008,161/4,414,902.75 = 4,414,902.75/x
  3. Step 3: Cross multiply
    2,008,161x = 4,414,902.75 × 4,414,902.75
  4. Step 4: Simplify right side
    2,008,161x = 19,491,366,291,957.56
  5. Step 5: Solve for x
    x = 19,491,366,291,957.56/2,008,161
  6. Step 6: Final answer
    x = 9,706,077.50

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Why These Related Problems?

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