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Finding the Third Proportional to 2,681,654,832 and 5,773,150,000

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Solution

The third proportional to 2,681,654,832 and 5,773,150,000 is: 12,428,617,033.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681,654,832 : 5,773,150,000 = 5,773,150,000 : x
  2. Step 2: Convert to fraction form
    2,681,654,832/5,773,150,000 = 5,773,150,000/x
  3. Step 3: Cross multiply
    2,681,654,832x = 5,773,150,000 × 5,773,150,000
  4. Step 4: Simplify right side
    2,681,654,832x = 33,329,260,922,500,001,792
  5. Step 5: Solve for x
    x = 33,329,260,922,500,001,792/2,681,654,832
  6. Step 6: Final answer
    x = 12,428,617,033.33

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Why These Related Problems?

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