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Finding the Third Proportional to 3,843,956,952 and 8,392,512,768

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Solution

The third proportional to 3,843,956,952 and 8,392,512,768 is: 18,323,376,520.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843,956,952 : 8,392,512,768 = 8,392,512,768 : x
  2. Step 2: Convert to fraction form
    3,843,956,952/8,392,512,768 = 8,392,512,768/x
  3. Step 3: Cross multiply
    3,843,956,952x = 8,392,512,768 × 8,392,512,768
  4. Step 4: Simplify right side
    3,843,956,952x = 70,434,270,561,043,021,824
  5. Step 5: Solve for x
    x = 70,434,270,561,043,021,824/3,843,956,952
  6. Step 6: Final answer
    x = 18,323,376,520.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.