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Finding the Third Proportional to 13,995,755,002 and 30,844,290,612

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Solution

The third proportional to 13,995,755,002 and 30,844,290,612 is: 67,975,629,983.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,995,755,002 : 30,844,290,612 = 30,844,290,612 : x
  2. Step 2: Convert to fraction form
    13,995,755,002/30,844,290,612 = 30,844,290,612/x
  3. Step 3: Cross multiply
    13,995,755,002x = 30,844,290,612 × 30,844,290,612
  4. Step 4: Simplify right side
    13,995,755,002x = 951,370,263,357,511,303,168
  5. Step 5: Solve for x
    x = 951,370,263,357,511,303,168/13,995,755,002
  6. Step 6: Final answer
    x = 67,975,629,983.63

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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.