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Finding the Third Proportional to 37,198,800 and 78,822,790

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Solution

The third proportional to 37,198,800 and 78,822,790 is: 167,022,383.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,198,800 : 78,822,790 = 78,822,790 : x
  2. Step 2: Convert to fraction form
    37,198,800/78,822,790 = 78,822,790/x
  3. Step 3: Cross multiply
    37,198,800x = 78,822,790 × 78,822,790
  4. Step 4: Simplify right side
    37,198,800x = 6,213,032,223,384,100
  5. Step 5: Solve for x
    x = 6,213,032,223,384,100/37,198,800
  6. Step 6: Final answer
    x = 167,022,383.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.