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Finding the Third Proportional to 2,684,704,831 and 5,445,960,691

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Solution

The third proportional to 2,684,704,831 and 5,445,960,691 is: 11,047,206,197.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684,704,831 : 5,445,960,691 = 5,445,960,691 : x
  2. Step 2: Convert to fraction form
    2,684,704,831/5,445,960,691 = 5,445,960,691/x
  3. Step 3: Cross multiply
    2,684,704,831x = 5,445,960,691 × 5,445,960,691
  4. Step 4: Simplify right side
    2,684,704,831x = 29,658,487,847,917,199,360
  5. Step 5: Solve for x
    x = 29,658,487,847,917,199,360/2,684,704,831
  6. Step 6: Final answer
    x = 11,047,206,197.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.