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Finding the Third Proportional to 33,309,025 and 74,276,766

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Solution

The third proportional to 33,309,025 and 74,276,766 is: 165,631,926.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,309,025 : 74,276,766 = 74,276,766 : x
  2. Step 2: Convert to fraction form
    33,309,025/74,276,766 = 74,276,766/x
  3. Step 3: Cross multiply
    33,309,025x = 74,276,766 × 74,276,766
  4. Step 4: Simplify right side
    33,309,025x = 5,517,037,967,418,756
  5. Step 5: Solve for x
    x = 5,517,037,967,418,756/33,309,025
  6. Step 6: Final answer
    x = 165,631,926.10

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.