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Finding the Third Proportional to 49,150,800 and 66,166,632

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Solution

The third proportional to 49,150,800 and 66,166,632 is: 89,073,284.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,150,800 : 66,166,632 = 66,166,632 : x
  2. Step 2: Convert to fraction form
    49,150,800/66,166,632 = 66,166,632/x
  3. Step 3: Cross multiply
    49,150,800x = 66,166,632 × 66,166,632
  4. Step 4: Simplify right side
    49,150,800x = 4,378,023,190,223,424
  5. Step 5: Solve for x
    x = 4,378,023,190,223,424/49,150,800
  6. Step 6: Final answer
    x = 89,073,284.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.