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Finding the Third Proportional to 37,399,267,579,708 and 80,426,996,327,692

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Solution

The third proportional to 37,399,267,579,708 and 80,426,996,327,692 is: 172,957,979,043,532

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,399,267,579,708 : 80,426,996,327,692 = 80,426,996,327,692 : x
  2. Step 2: Convert to fraction form
    37,399,267,579,708/80,426,996,327,692 = 80,426,996,327,692/x
  3. Step 3: Cross multiply
    37,399,267,579,708x = 80,426,996,327,692 × 80,426,996,327,692
  4. Step 4: Simplify right side
    37,399,267,579,708x = 6,468,501,738,294,582,267,686,682,624
  5. Step 5: Solve for x
    x = 6,468,501,738,294,582,267,686,682,624/37,399,267,579,708
  6. Step 6: Final answer
    x = 172,957,979,043,532

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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.