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Finding the Third Proportional to 37,858,923.50 and 82,351,119.50

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Solution

The third proportional to 37,858,923.50 and 82,351,119.50 is: 179,131,001.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,858,923.50 : 82,351,119.50 = 82,351,119.50 : x
  2. Step 2: Convert to fraction form
    37,858,923.50/82,351,119.50 = 82,351,119.50/x
  3. Step 3: Cross multiply
    37,858,923.50x = 82,351,119.50 × 82,351,119.50
  4. Step 4: Simplify right side
    37,858,923.50x = 6,781,706,882,903,280
  5. Step 5: Solve for x
    x = 6,781,706,882,903,280/37,858,923.50
  6. Step 6: Final answer
    x = 179,131,001.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.