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Finding the Third Proportional to 36,768,846 and 80,831,580

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Solution

The third proportional to 36,768,846 and 80,831,580 is: 177,697,834.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,768,846 : 80,831,580 = 80,831,580 : x
  2. Step 2: Convert to fraction form
    36,768,846/80,831,580 = 80,831,580/x
  3. Step 3: Cross multiply
    36,768,846x = 80,831,580 × 80,831,580
  4. Step 4: Simplify right side
    36,768,846x = 6,533,744,325,296,400
  5. Step 5: Solve for x
    x = 6,533,744,325,296,400/36,768,846
  6. Step 6: Final answer
    x = 177,697,834.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.