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Finding the Third Proportional to 3,560,671,105 and 5,234,344,480

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Solution

The third proportional to 3,560,671,105 and 5,234,344,480 is: 7,694,718,587.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,560,671,105 : 5,234,344,480 = 5,234,344,480 : x
  2. Step 2: Convert to fraction form
    3,560,671,105/5,234,344,480 = 5,234,344,480/x
  3. Step 3: Cross multiply
    3,560,671,105x = 5,234,344,480 × 5,234,344,480
  4. Step 4: Simplify right side
    3,560,671,105x = 27,398,362,135,306,469,376
  5. Step 5: Solve for x
    x = 27,398,362,135,306,469,376/3,560,671,105
  6. Step 6: Final answer
    x = 7,694,718,587.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.