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Finding the Third Proportional to 3,512,304,894.94 and 7,584,410,276.44

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Solution

The third proportional to 3,512,304,894.94 and 7,584,410,276.44 is: 16,377,644,014.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512,304,894.94 : 7,584,410,276.44 = 7,584,410,276.44 : x
  2. Step 2: Convert to fraction form
    3,512,304,894.94/7,584,410,276.44 = 7,584,410,276.44/x
  3. Step 3: Cross multiply
    3,512,304,894.94x = 7,584,410,276.44 × 7,584,410,276.44
  4. Step 4: Simplify right side
    3,512,304,894.94x = 57,523,279,241,330,753,536
  5. Step 5: Solve for x
    x = 57,523,279,241,330,753,536/3,512,304,894.94
  6. Step 6: Final answer
    x = 16,377,644,014.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.