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Finding the Third Proportional to 8,761,736 and 19,175,193

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Solution

The third proportional to 8,761,736 and 19,175,193 is: 41,965,202.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,761,736 : 19,175,193 = 19,175,193 : x
  2. Step 2: Convert to fraction form
    8,761,736/19,175,193 = 19,175,193/x
  3. Step 3: Cross multiply
    8,761,736x = 19,175,193 × 19,175,193
  4. Step 4: Simplify right side
    8,761,736x = 367,688,026,587,249
  5. Step 5: Solve for x
    x = 367,688,026,587,249/8,761,736
  6. Step 6: Final answer
    x = 41,965,202.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.