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Finding the Third Proportional to 33,996,682 and 72,844,156

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Solution

The third proportional to 33,996,682 and 72,844,156 is: 156,082,027.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,996,682 : 72,844,156 = 72,844,156 : x
  2. Step 2: Convert to fraction form
    33,996,682/72,844,156 = 72,844,156/x
  3. Step 3: Cross multiply
    33,996,682x = 72,844,156 × 72,844,156
  4. Step 4: Simplify right side
    33,996,682x = 5,306,271,063,352,336
  5. Step 5: Solve for x
    x = 5,306,271,063,352,336/33,996,682
  6. Step 6: Final answer
    x = 156,082,027.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.