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Finding the Third Proportional to 3,496,903,656 and 7,134,277,614

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Solution

The third proportional to 3,496,903,656 and 7,134,277,614 is: 14,555,138,511.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496,903,656 : 7,134,277,614 = 7,134,277,614 : x
  2. Step 2: Convert to fraction form
    3,496,903,656/7,134,277,614 = 7,134,277,614/x
  3. Step 3: Cross multiply
    3,496,903,656x = 7,134,277,614 × 7,134,277,614
  4. Step 4: Simplify right side
    3,496,903,656x = 50,897,917,073,621,532,672
  5. Step 5: Solve for x
    x = 50,897,917,073,621,532,672/3,496,903,656
  6. Step 6: Final answer
    x = 14,555,138,511.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.