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Finding the Third Proportional to 37,858,845 and 82,350,914.25

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Solution

The third proportional to 37,858,845 and 82,350,914.25 is: 179,130,480.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,858,845 : 82,350,914.25 = 82,350,914.25 : x
  2. Step 2: Convert to fraction form
    37,858,845/82,350,914.25 = 82,350,914.25/x
  3. Step 3: Cross multiply
    37,858,845x = 82,350,914.25 × 82,350,914.25
  4. Step 4: Simplify right side
    37,858,845x = 6,781,673,077,810,853
  5. Step 5: Solve for x
    x = 6,781,673,077,810,853/37,858,845
  6. Step 6: Final answer
    x = 179,130,480.02

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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.