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Finding the Third Proportional to 36,803,372,760 and 52,629,228,036

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Solution

The third proportional to 36,803,372,760 and 52,629,228,036 is: 75,260,375,230.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,803,372,760 : 52,629,228,036 = 52,629,228,036 : x
  2. Step 2: Convert to fraction form
    36,803,372,760/52,629,228,036 = 52,629,228,036/x
  3. Step 3: Cross multiply
    36,803,372,760x = 52,629,228,036 × 52,629,228,036
  4. Step 4: Simplify right side
    36,803,372,760x = 2,769,835,643,665,288,527,872
  5. Step 5: Solve for x
    x = 2,769,835,643,665,288,527,872/36,803,372,760
  6. Step 6: Final answer
    x = 75,260,375,230.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.