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Finding the Third Proportional to 82,205,424 and 180,682,560

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Solution

The third proportional to 82,205,424 and 180,682,560 is: 397,129,360.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,205,424 : 180,682,560 = 180,682,560 : x
  2. Step 2: Convert to fraction form
    82,205,424/180,682,560 = 180,682,560/x
  3. Step 3: Cross multiply
    82,205,424x = 180,682,560 × 180,682,560
  4. Step 4: Simplify right side
    82,205,424x = 32,646,187,488,153,600
  5. Step 5: Solve for x
    x = 32,646,187,488,153,600/82,205,424
  6. Step 6: Final answer
    x = 397,129,360.81

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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.