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Finding the Third Proportional to 2,251,112,832 and 4,960,207,440

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Solution

The third proportional to 2,251,112,832 and 4,960,207,440 is: 10,929,553,373.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251,112,832 : 4,960,207,440 = 4,960,207,440 : x
  2. Step 2: Convert to fraction form
    2,251,112,832/4,960,207,440 = 4,960,207,440/x
  3. Step 3: Cross multiply
    2,251,112,832x = 4,960,207,440 × 4,960,207,440
  4. Step 4: Simplify right side
    2,251,112,832x = 24,603,657,847,831,355,392
  5. Step 5: Solve for x
    x = 24,603,657,847,831,355,392/2,251,112,832
  6. Step 6: Final answer
    x = 10,929,553,373.82

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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.