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Finding the Third Proportional to 8,769,297,384 and 20,693,972,240

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Solution

The third proportional to 8,769,297,384 and 20,693,972,240 is: 48,834,070,543.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,769,297,384 : 20,693,972,240 = 20,693,972,240 : x
  2. Step 2: Convert to fraction form
    8,769,297,384/20,693,972,240 = 20,693,972,240/x
  3. Step 3: Cross multiply
    8,769,297,384x = 20,693,972,240 × 20,693,972,240
  4. Step 4: Simplify right side
    8,769,297,384x = 428,240,487,069,890,641,920
  5. Step 5: Solve for x
    x = 428,240,487,069,890,641,920/8,769,297,384
  6. Step 6: Final answer
    x = 48,834,070,543.81

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.