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Finding the Third Proportional to 39,115,469 and 85,041,074

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Solution

The third proportional to 39,115,469 and 85,041,074 is: 184,888,087.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,115,469 : 85,041,074 = 85,041,074 : x
  2. Step 2: Convert to fraction form
    39,115,469/85,041,074 = 85,041,074/x
  3. Step 3: Cross multiply
    39,115,469x = 85,041,074 × 85,041,074
  4. Step 4: Simplify right side
    39,115,469x = 7,231,984,267,073,476
  5. Step 5: Solve for x
    x = 7,231,984,267,073,476/39,115,469
  6. Step 6: Final answer
    x = 184,888,087.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.