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Finding the Third Proportional to 382,519,406.25 and 811,007,016.75

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Solution

The third proportional to 382,519,406.25 and 811,007,016.75 is: 1,719,474,542.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,519,406.25 : 811,007,016.75 = 811,007,016.75 : x
  2. Step 2: Convert to fraction form
    382,519,406.25/811,007,016.75 = 811,007,016.75/x
  3. Step 3: Cross multiply
    382,519,406.25x = 811,007,016.75 × 811,007,016.75
  4. Step 4: Simplify right side
    382,519,406.25x = 657,732,381,217,734,784
  5. Step 5: Solve for x
    x = 657,732,381,217,734,784/382,519,406.25
  6. Step 6: Final answer
    x = 1,719,474,542.91

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.