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Finding the Third Proportional to 174,438,284,478 and 378,647,561,244

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Solution

The third proportional to 174,438,284,478 and 378,647,561,244 is: 821,918,055,804.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,438,284,478 : 378,647,561,244 = 378,647,561,244 : x
  2. Step 2: Convert to fraction form
    174,438,284,478/378,647,561,244 = 378,647,561,244/x
  3. Step 3: Cross multiply
    174,438,284,478x = 378,647,561,244 × 378,647,561,244
  4. Step 4: Simplify right side
    174,438,284,478x = 143,373,975,636,028,736,667,648
  5. Step 5: Solve for x
    x = 143,373,975,636,028,736,667,648/174,438,284,478
  6. Step 6: Final answer
    x = 821,918,055,804.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.