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Finding the Third Proportional to 3,886,587,021 and 8,392,468,290

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Solution

The third proportional to 3,886,587,021 and 8,392,468,290 is: 18,122,204,293.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886,587,021 : 8,392,468,290 = 8,392,468,290 : x
  2. Step 2: Convert to fraction form
    3,886,587,021/8,392,468,290 = 8,392,468,290/x
  3. Step 3: Cross multiply
    3,886,587,021x = 8,392,468,290 × 8,392,468,290
  4. Step 4: Simplify right side
    3,886,587,021x = 70,433,523,998,655,520,768
  5. Step 5: Solve for x
    x = 70,433,523,998,655,520,768/3,886,587,021
  6. Step 6: Final answer
    x = 18,122,204,293.40

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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.