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Finding the Third Proportional to 3,886,587,019 and 8,392,468,286

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Solution

The third proportional to 3,886,587,019 and 8,392,468,286 is: 18,122,204,285.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886,587,019 : 8,392,468,286 = 8,392,468,286 : x
  2. Step 2: Convert to fraction form
    3,886,587,019/8,392,468,286 = 8,392,468,286/x
  3. Step 3: Cross multiply
    3,886,587,019x = 8,392,468,286 × 8,392,468,286
  4. Step 4: Simplify right side
    3,886,587,019x = 70,433,523,931,515,781,120
  5. Step 5: Solve for x
    x = 70,433,523,931,515,781,120/3,886,587,019
  6. Step 6: Final answer
    x = 18,122,204,285.46

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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.