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Finding the Third Proportional to 33,707,508 and 73,656,166.50

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Solution

The third proportional to 33,707,508 and 73,656,166.50 is: 160,950,221.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,707,508 : 73,656,166.50 = 73,656,166.50 : x
  2. Step 2: Convert to fraction form
    33,707,508/73,656,166.50 = 73,656,166.50/x
  3. Step 3: Cross multiply
    33,707,508x = 73,656,166.50 × 73,656,166.50
  4. Step 4: Simplify right side
    33,707,508x = 5,425,230,863,475,722
  5. Step 5: Solve for x
    x = 5,425,230,863,475,722/33,707,508
  6. Step 6: Final answer
    x = 160,950,221.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.