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Finding the Third Proportional to 33,059,136.23 and 77,198,494.39

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Solution

The third proportional to 33,059,136.23 and 77,198,494.39 is: 180,271,120.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,059,136.23 : 77,198,494.39 = 77,198,494.39 : x
  2. Step 2: Convert to fraction form
    33,059,136.23/77,198,494.39 = 77,198,494.39/x
  3. Step 3: Cross multiply
    33,059,136.23x = 77,198,494.39 × 77,198,494.39
  4. Step 4: Simplify right side
    33,059,136.23x = 5,959,607,536,782,125
  5. Step 5: Solve for x
    x = 5,959,607,536,782,125/33,059,136.23
  6. Step 6: Final answer
    x = 180,271,120.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.