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Finding the Third Proportional to 37,198,770 and 78,822,732

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Solution

The third proportional to 37,198,770 and 78,822,732 is: 167,022,271.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,198,770 : 78,822,732 = 78,822,732 : x
  2. Step 2: Convert to fraction form
    37,198,770/78,822,732 = 78,822,732/x
  3. Step 3: Cross multiply
    37,198,770x = 78,822,732 × 78,822,732
  4. Step 4: Simplify right side
    37,198,770x = 6,213,023,079,943,824
  5. Step 5: Solve for x
    x = 6,213,023,079,943,824/37,198,770
  6. Step 6: Final answer
    x = 167,022,271.97

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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.