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Finding the Third Proportional to 36,351,180 and 77,809,734

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Solution

The third proportional to 36,351,180 and 77,809,734 is: 166,551,806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,351,180 : 77,809,734 = 77,809,734 : x
  2. Step 2: Convert to fraction form
    36,351,180/77,809,734 = 77,809,734/x
  3. Step 3: Cross multiply
    36,351,180x = 77,809,734 × 77,809,734
  4. Step 4: Simplify right side
    36,351,180x = 6,054,354,705,150,756
  5. Step 5: Solve for x
    x = 6,054,354,705,150,756/36,351,180
  6. Step 6: Final answer
    x = 166,551,806.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.