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Finding the Third Proportional to 3,866,535 and 5,681,452.50

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Solution

The third proportional to 3,866,535 and 5,681,452.50 is: 8,348,276.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866,535 : 5,681,452.50 = 5,681,452.50 : x
  2. Step 2: Convert to fraction form
    3,866,535/5,681,452.50 = 5,681,452.50/x
  3. Step 3: Cross multiply
    3,866,535x = 5,681,452.50 × 5,681,452.50
  4. Step 4: Simplify right side
    3,866,535x = 32,278,902,509,756.25
  5. Step 5: Solve for x
    x = 32,278,902,509,756.25/3,866,535
  6. Step 6: Final answer
    x = 8,348,276.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.