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Finding the Third Proportional to 367,327,365.75 and 799,222,322.25

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Solution

The third proportional to 367,327,365.75 and 799,222,322.25 is: 1,738,929,303.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,327,365.75 : 799,222,322.25 = 799,222,322.25 : x
  2. Step 2: Convert to fraction form
    367,327,365.75/799,222,322.25 = 799,222,322.25/x
  3. Step 3: Cross multiply
    367,327,365.75x = 799,222,322.25 × 799,222,322.25
  4. Step 4: Simplify right side
    367,327,365.75x = 638,756,320,382,682,880
  5. Step 5: Solve for x
    x = 638,756,320,382,682,880/367,327,365.75
  6. Step 6: Final answer
    x = 1,738,929,303.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.