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Finding the Third Proportional to 39,947,074 and 85,961,432

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Solution

The third proportional to 39,947,074 and 85,961,432 is: 184,978,949.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,947,074 : 85,961,432 = 85,961,432 : x
  2. Step 2: Convert to fraction form
    39,947,074/85,961,432 = 85,961,432/x
  3. Step 3: Cross multiply
    39,947,074x = 85,961,432 × 85,961,432
  4. Step 4: Simplify right side
    39,947,074x = 7,389,367,791,490,624
  5. Step 5: Solve for x
    x = 7,389,367,791,490,624/39,947,074
  6. Step 6: Final answer
    x = 184,978,949.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.