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Finding the Third Proportional to 76,647,757,540 and 167,744,775,812

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Solution

The third proportional to 76,647,757,540 and 167,744,775,812 is: 367,111,977,118.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,647,757,540 : 167,744,775,812 = 167,744,775,812 : x
  2. Step 2: Convert to fraction form
    76,647,757,540/167,744,775,812 = 167,744,775,812/x
  3. Step 3: Cross multiply
    76,647,757,540x = 167,744,775,812 × 167,744,775,812
  4. Step 4: Simplify right side
    76,647,757,540x = 28,138,309,812,218,140,557,312
  5. Step 5: Solve for x
    x = 28,138,309,812,218,140,557,312/76,647,757,540
  6. Step 6: Final answer
    x = 367,111,977,118.62

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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.