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Finding the Third Proportional to 766,641,611.25 and 1,667,606,013.56

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Solution

The third proportional to 766,641,611.25 and 1,667,606,013.56 is: 3,627,392,220.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,641,611.25 : 1,667,606,013.56 = 1,667,606,013.56 : x
  2. Step 2: Convert to fraction form
    766,641,611.25/1,667,606,013.56 = 1,667,606,013.56/x
  3. Step 3: Cross multiply
    766,641,611.25x = 1,667,606,013.56 × 1,667,606,013.56
  4. Step 4: Simplify right side
    766,641,611.25x = 2,780,909,816,469,812,736
  5. Step 5: Solve for x
    x = 2,780,909,816,469,812,736/766,641,611.25
  6. Step 6: Final answer
    x = 3,627,392,220.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.