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Finding the Third Proportional to 3,699,561,962 and 8,632,609,568

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Solution

The third proportional to 3,699,561,962 and 8,632,609,568 is: 20,143,451,770.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699,561,962 : 8,632,609,568 = 8,632,609,568 : x
  2. Step 2: Convert to fraction form
    3,699,561,962/8,632,609,568 = 8,632,609,568/x
  3. Step 3: Cross multiply
    3,699,561,962x = 8,632,609,568 × 8,632,609,568
  4. Step 4: Simplify right side
    3,699,561,962x = 74,521,947,953,525,145,600
  5. Step 5: Solve for x
    x = 74,521,947,953,525,145,600/3,699,561,962
  6. Step 6: Final answer
    x = 20,143,451,770.50

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.