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Finding the Third Proportional to 3,635,542.50 and 5,528,851.50

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Solution

The third proportional to 3,635,542.50 and 5,528,851.50 is: 8,408,153.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635,542.50 : 5,528,851.50 = 5,528,851.50 : x
  2. Step 2: Convert to fraction form
    3,635,542.50/5,528,851.50 = 5,528,851.50/x
  3. Step 3: Cross multiply
    3,635,542.50x = 5,528,851.50 × 5,528,851.50
  4. Step 4: Simplify right side
    3,635,542.50x = 30,568,198,909,052.25
  5. Step 5: Solve for x
    x = 30,568,198,909,052.25/3,635,542.50
  6. Step 6: Final answer
    x = 8,408,153.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.