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Finding the Third Proportional to 37,399,267,579,740 and 80,426,996,327,760

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Solution

The third proportional to 37,399,267,579,740 and 80,426,996,327,760 is: 172,957,979,043,676.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,399,267,579,740 : 80,426,996,327,760 = 80,426,996,327,760 : x
  2. Step 2: Convert to fraction form
    37,399,267,579,740/80,426,996,327,760 = 80,426,996,327,760/x
  3. Step 3: Cross multiply
    37,399,267,579,740x = 80,426,996,327,760 × 80,426,996,327,760
  4. Step 4: Simplify right side
    37,399,267,579,740x = 6,468,501,738,305,520,209,359,798,272
  5. Step 5: Solve for x
    x = 6,468,501,738,305,520,209,359,798,272/37,399,267,579,740
  6. Step 6: Final answer
    x = 172,957,979,043,676.47

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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.