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Finding the Third Proportional to 37,675,084 and 81,373,112

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Solution

The third proportional to 37,675,084 and 81,373,112 is: 175,754,972.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,675,084 : 81,373,112 = 81,373,112 : x
  2. Step 2: Convert to fraction form
    37,675,084/81,373,112 = 81,373,112/x
  3. Step 3: Cross multiply
    37,675,084x = 81,373,112 × 81,373,112
  4. Step 4: Simplify right side
    37,675,084x = 6,621,583,356,564,544
  5. Step 5: Solve for x
    x = 6,621,583,356,564,544/37,675,084
  6. Step 6: Final answer
    x = 175,754,972.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.