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Finding the Third Proportional to 2,251,112,840 and 4,960,207,456

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Solution

The third proportional to 2,251,112,840 and 4,960,207,456 is: 10,929,553,405.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251,112,840 : 4,960,207,456 = 4,960,207,456 : x
  2. Step 2: Convert to fraction form
    2,251,112,840/4,960,207,456 = 4,960,207,456/x
  3. Step 3: Cross multiply
    2,251,112,840x = 4,960,207,456 × 4,960,207,456
  4. Step 4: Simplify right side
    2,251,112,840x = 24,603,658,006,557,990,912
  5. Step 5: Solve for x
    x = 24,603,658,006,557,990,912/2,251,112,840
  6. Step 6: Final answer
    x = 10,929,553,405.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.