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Finding the Third Proportional to 82,797,336 and 180,633,707

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Solution

The third proportional to 82,797,336 and 180,633,707 is: 394,077,124.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,797,336 : 180,633,707 = 180,633,707 : x
  2. Step 2: Convert to fraction form
    82,797,336/180,633,707 = 180,633,707/x
  3. Step 3: Cross multiply
    82,797,336x = 180,633,707 × 180,633,707
  4. Step 4: Simplify right side
    82,797,336x = 32,628,536,104,561,848
  5. Step 5: Solve for x
    x = 32,628,536,104,561,848/82,797,336
  6. Step 6: Final answer
    x = 394,077,124.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.