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Finding the Third Proportional to 37,198,320 and 78,821,568

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Solution

The third proportional to 37,198,320 and 78,821,568 is: 167,019,359.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,198,320 : 78,821,568 = 78,821,568 : x
  2. Step 2: Convert to fraction form
    37,198,320/78,821,568 = 78,821,568/x
  3. Step 3: Cross multiply
    37,198,320x = 78,821,568 × 78,821,568
  4. Step 4: Simplify right side
    37,198,320x = 6,212,839,581,978,624
  5. Step 5: Solve for x
    x = 6,212,839,581,978,624/37,198,320
  6. Step 6: Final answer
    x = 167,019,359.53

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.