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Finding the Third Proportional to 33,812,023.50 and 71,996,427

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Solution

The third proportional to 33,812,023.50 and 71,996,427 is: 153,303,025.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,812,023.50 : 71,996,427 = 71,996,427 : x
  2. Step 2: Convert to fraction form
    33,812,023.50/71,996,427 = 71,996,427/x
  3. Step 3: Cross multiply
    33,812,023.50x = 71,996,427 × 71,996,427
  4. Step 4: Simplify right side
    33,812,023.50x = 5,183,485,500,766,329
  5. Step 5: Solve for x
    x = 5,183,485,500,766,329/33,812,023.50
  6. Step 6: Final answer
    x = 153,303,025.50

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.