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Finding the Third Proportional to 13,995,755,734 and 30,844,292,293

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Solution

The third proportional to 13,995,755,734 and 30,844,292,293 is: 67,975,633,837.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,995,755,734 : 30,844,292,293 = 30,844,292,293 : x
  2. Step 2: Convert to fraction form
    13,995,755,734/30,844,292,293 = 30,844,292,293/x
  3. Step 3: Cross multiply
    13,995,755,734x = 30,844,292,293 × 30,844,292,293
  4. Step 4: Simplify right side
    13,995,755,734x = 951,370,367,056,019,193,856
  5. Step 5: Solve for x
    x = 951,370,367,056,019,193,856/13,995,755,734
  6. Step 6: Final answer
    x = 67,975,633,837.68

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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.