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Finding the Third Proportional to 311,020,761 and 668,197,839

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Solution

The third proportional to 311,020,761 and 668,197,839 is: 1,435,558,033.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,020,761 : 668,197,839 = 668,197,839 : x
  2. Step 2: Convert to fraction form
    311,020,761/668,197,839 = 668,197,839/x
  3. Step 3: Cross multiply
    311,020,761x = 668,197,839 × 668,197,839
  4. Step 4: Simplify right side
    311,020,761x = 446,488,352,044,269,952
  5. Step 5: Solve for x
    x = 446,488,352,044,269,952/311,020,761
  6. Step 6: Final answer
    x = 1,435,558,033.52

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.