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Finding the Third Proportional to 37,399,267,579,636 and 80,426,996,327,552

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Solution

The third proportional to 37,399,267,579,636 and 80,426,996,327,552 is: 172,957,979,043,262.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,399,267,579,636 : 80,426,996,327,552 = 80,426,996,327,552 : x
  2. Step 2: Convert to fraction form
    37,399,267,579,636/80,426,996,327,552 = 80,426,996,327,552/x
  3. Step 3: Cross multiply
    37,399,267,579,636x = 80,426,996,327,552 × 80,426,996,327,552
  4. Step 4: Simplify right side
    37,399,267,579,636x = 6,468,501,738,272,063,170,038,202,368
  5. Step 5: Solve for x
    x = 6,468,501,738,272,063,170,038,202,368/37,399,267,579,636
  6. Step 6: Final answer
    x = 172,957,979,043,262.84

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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.