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Finding the Third Proportional to 36,775,593,698 and 52,589,161,616

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Solution

The third proportional to 36,775,593,698 and 52,589,161,616 is: 75,202,590,668.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,775,593,698 : 52,589,161,616 = 52,589,161,616 : x
  2. Step 2: Convert to fraction form
    36,775,593,698/52,589,161,616 = 52,589,161,616/x
  3. Step 3: Cross multiply
    36,775,593,698x = 52,589,161,616 × 52,589,161,616
  4. Step 4: Simplify right side
    36,775,593,698x = 2,765,619,919,473,767,612,416
  5. Step 5: Solve for x
    x = 2,765,619,919,473,767,612,416/36,775,593,698
  6. Step 6: Final answer
    x = 75,202,590,668.83

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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.