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Finding the Third Proportional to 37,175,576 and 80,965,180

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Solution

The third proportional to 37,175,576 and 80,965,180 is: 176,335,139.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,175,576 : 80,965,180 = 80,965,180 : x
  2. Step 2: Convert to fraction form
    37,175,576/80,965,180 = 80,965,180/x
  3. Step 3: Cross multiply
    37,175,576x = 80,965,180 × 80,965,180
  4. Step 4: Simplify right side
    37,175,576x = 6,555,360,372,432,400
  5. Step 5: Solve for x
    x = 6,555,360,372,432,400/37,175,576
  6. Step 6: Final answer
    x = 176,335,139.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.