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Finding the Third Proportional to 82,205,426 and 180,682,564

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Solution

The third proportional to 82,205,426 and 180,682,564 is: 397,129,368.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,205,426 : 180,682,564 = 180,682,564 : x
  2. Step 2: Convert to fraction form
    82,205,426/180,682,564 = 180,682,564/x
  3. Step 3: Cross multiply
    82,205,426x = 180,682,564 × 180,682,564
  4. Step 4: Simplify right side
    82,205,426x = 32,646,188,933,614,096
  5. Step 5: Solve for x
    x = 32,646,188,933,614,096/82,205,426
  6. Step 6: Final answer
    x = 397,129,368.73

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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.