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Finding the Third Proportional to 37,198,944 and 78,823,080

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Solution

The third proportional to 37,198,944 and 78,823,080 is: 167,022,965.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,198,944 : 78,823,080 = 78,823,080 : x
  2. Step 2: Convert to fraction form
    37,198,944/78,823,080 = 78,823,080/x
  3. Step 3: Cross multiply
    37,198,944x = 78,823,080 × 78,823,080
  4. Step 4: Simplify right side
    37,198,944x = 6,213,077,940,686,400
  5. Step 5: Solve for x
    x = 6,213,077,940,686,400/37,198,944
  6. Step 6: Final answer
    x = 167,022,965.51

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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.