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Finding the Third Proportional to 5,325,571.97 and 11,647,594.13

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Solution

The third proportional to 5,325,571.97 and 11,647,594.13 is: 25,474,531.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325,571.97 : 11,647,594.13 = 11,647,594.13 : x
  2. Step 2: Convert to fraction form
    5,325,571.97/11,647,594.13 = 11,647,594.13/x
  3. Step 3: Cross multiply
    5,325,571.97x = 11,647,594.13 × 11,647,594.13
  4. Step 4: Simplify right side
    5,325,571.97x = 135,666,448,900,734.52
  5. Step 5: Solve for x
    x = 135,666,448,900,734.52/5,325,571.97
  6. Step 6: Final answer
    x = 25,474,531.13

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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.