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Finding the Third Proportional to 37,399,267,579,702 and 80,426,996,327,682

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Solution

The third proportional to 37,399,267,579,702 and 80,426,996,327,682 is: 172,957,979,043,516.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,399,267,579,702 : 80,426,996,327,682 = 80,426,996,327,682 : x
  2. Step 2: Convert to fraction form
    37,399,267,579,702/80,426,996,327,682 = 80,426,996,327,682/x
  3. Step 3: Cross multiply
    37,399,267,579,702x = 80,426,996,327,682 × 80,426,996,327,682
  4. Step 4: Simplify right side
    37,399,267,579,702x = 6,468,501,738,292,973,682,175,246,336
  5. Step 5: Solve for x
    x = 6,468,501,738,292,973,682,175,246,336/37,399,267,579,702
  6. Step 6: Final answer
    x = 172,957,979,043,516.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.