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Finding the Third Proportional to 41,180,031 and 87,831,846

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Solution

The third proportional to 41,180,031 and 87,831,846 is: 187,334,321.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,180,031 : 87,831,846 = 87,831,846 : x
  2. Step 2: Convert to fraction form
    41,180,031/87,831,846 = 87,831,846/x
  3. Step 3: Cross multiply
    41,180,031x = 87,831,846 × 87,831,846
  4. Step 4: Simplify right side
    41,180,031x = 7,714,433,171,767,716
  5. Step 5: Solve for x
    x = 7,714,433,171,767,716/41,180,031
  6. Step 6: Final answer
    x = 187,334,321.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.