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Finding the Third Proportional to 37,858,920 and 82,351,114.50

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Solution

The third proportional to 37,858,920 and 82,351,114.50 is: 179,130,996.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,858,920 : 82,351,114.50 = 82,351,114.50 : x
  2. Step 2: Convert to fraction form
    37,858,920/82,351,114.50 = 82,351,114.50/x
  3. Step 3: Cross multiply
    37,858,920x = 82,351,114.50 × 82,351,114.50
  4. Step 4: Simplify right side
    37,858,920x = 6,781,706,059,392,110
  5. Step 5: Solve for x
    x = 6,781,706,059,392,110/37,858,920
  6. Step 6: Final answer
    x = 179,130,996.33

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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.