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Finding the Third Proportional to 37,008,576 and 80,195,151

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Solution

The third proportional to 37,008,576 and 80,195,151 is: 173,777,619.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,008,576 : 80,195,151 = 80,195,151 : x
  2. Step 2: Convert to fraction form
    37,008,576/80,195,151 = 80,195,151/x
  3. Step 3: Cross multiply
    37,008,576x = 80,195,151 × 80,195,151
  4. Step 4: Simplify right side
    37,008,576x = 6,431,262,243,912,801
  5. Step 5: Solve for x
    x = 6,431,262,243,912,801/37,008,576
  6. Step 6: Final answer
    x = 173,777,619.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.