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Finding the Third Proportional to 37,891,755 and 82,155,825

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Solution

The third proportional to 37,891,755 and 82,155,825 is: 178,127,922.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,891,755 : 82,155,825 = 82,155,825 : x
  2. Step 2: Convert to fraction form
    37,891,755/82,155,825 = 82,155,825/x
  3. Step 3: Cross multiply
    37,891,755x = 82,155,825 × 82,155,825
  4. Step 4: Simplify right side
    37,891,755x = 6,749,579,581,430,625
  5. Step 5: Solve for x
    x = 6,749,579,581,430,625/37,891,755
  6. Step 6: Final answer
    x = 178,127,922.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.