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Finding the Third Proportional to 2,474,438.25 and 5,175,120.75

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Solution

The third proportional to 2,474,438.25 and 5,175,120.75 is: 10,823,416.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474,438.25 : 5,175,120.75 = 5,175,120.75 : x
  2. Step 2: Convert to fraction form
    2,474,438.25/5,175,120.75 = 5,175,120.75/x
  3. Step 3: Cross multiply
    2,474,438.25x = 5,175,120.75 × 5,175,120.75
  4. Step 4: Simplify right side
    2,474,438.25x = 26,781,874,777,080.56
  5. Step 5: Solve for x
    x = 26,781,874,777,080.56/2,474,438.25
  6. Step 6: Final answer
    x = 10,823,416.09

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.