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Finding the Third Proportional to 8,092,064.53 and 17,338,350.80

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Solution

The third proportional to 8,092,064.53 and 17,338,350.80 is: 37,149,778.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092,064.53 : 17,338,350.80 = 17,338,350.80 : x
  2. Step 2: Convert to fraction form
    8,092,064.53/17,338,350.80 = 17,338,350.80/x
  3. Step 3: Cross multiply
    8,092,064.53x = 17,338,350.80 × 17,338,350.80
  4. Step 4: Simplify right side
    8,092,064.53x = 300,618,408,355,495.94
  5. Step 5: Solve for x
    x = 300,618,408,355,495.94/8,092,064.53
  6. Step 6: Final answer
    x = 37,149,778.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.