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Finding the Third Proportional to 1,275,631,072.88 and 1,996,711,033.31

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Solution

The third proportional to 1,275,631,072.88 and 1,996,711,033.31 is: 3,125,398,114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275,631,072.88 : 1,996,711,033.31 = 1,996,711,033.31 : x
  2. Step 2: Convert to fraction form
    1,275,631,072.88/1,996,711,033.31 = 1,996,711,033.31/x
  3. Step 3: Cross multiply
    1,275,631,072.88x = 1,996,711,033.31 × 1,996,711,033.31
  4. Step 4: Simplify right side
    1,275,631,072.88x = 3,986,854,950,551,871,488
  5. Step 5: Solve for x
    x = 3,986,854,950,551,871,488/1,275,631,072.88
  6. Step 6: Final answer
    x = 3,125,398,114.96

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.