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Finding the Third Proportional to 37,812,212 and 82,745,296

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Solution

The third proportional to 37,812,212 and 82,745,296 is: 181,073,352.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,812,212 : 82,745,296 = 82,745,296 : x
  2. Step 2: Convert to fraction form
    37,812,212/82,745,296 = 82,745,296/x
  3. Step 3: Cross multiply
    37,812,212x = 82,745,296 × 82,745,296
  4. Step 4: Simplify right side
    37,812,212x = 6,846,784,010,127,616
  5. Step 5: Solve for x
    x = 6,846,784,010,127,616/37,812,212
  6. Step 6: Final answer
    x = 181,073,352.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.