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Finding the Third Proportional to 2,251,112,882 and 4,960,207,540

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Solution

The third proportional to 2,251,112,882 and 4,960,207,540 is: 10,929,553,571.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251,112,882 : 4,960,207,540 = 4,960,207,540 : x
  2. Step 2: Convert to fraction form
    2,251,112,882/4,960,207,540 = 4,960,207,540/x
  3. Step 3: Cross multiply
    2,251,112,882x = 4,960,207,540 × 4,960,207,540
  4. Step 4: Simplify right side
    2,251,112,882x = 24,603,658,839,872,851,968
  5. Step 5: Solve for x
    x = 24,603,658,839,872,851,968/2,251,112,882
  6. Step 6: Final answer
    x = 10,929,553,571.75

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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.