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Finding the Third Proportional to 39,696,147.75 and 85,474,524

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Solution

The third proportional to 39,696,147.75 and 85,474,524 is: 184,045,421.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,696,147.75 : 85,474,524 = 85,474,524 : x
  2. Step 2: Convert to fraction form
    39,696,147.75/85,474,524 = 85,474,524/x
  3. Step 3: Cross multiply
    39,696,147.75x = 85,474,524 × 85,474,524
  4. Step 4: Simplify right side
    39,696,147.75x = 7,305,894,253,026,576
  5. Step 5: Solve for x
    x = 7,305,894,253,026,576/39,696,147.75
  6. Step 6: Final answer
    x = 184,045,421.71

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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.