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Finding the Third Proportional to 174,438,284,504 and 378,647,561,292

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Solution

The third proportional to 174,438,284,504 and 378,647,561,292 is: 821,918,055,890.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,438,284,504 : 378,647,561,292 = 378,647,561,292 : x
  2. Step 2: Convert to fraction form
    174,438,284,504/378,647,561,292 = 378,647,561,292/x
  3. Step 3: Cross multiply
    174,438,284,504x = 378,647,561,292 × 378,647,561,292
  4. Step 4: Simplify right side
    174,438,284,504x = 143,373,975,672,378,890,387,456
  5. Step 5: Solve for x
    x = 143,373,975,672,378,890,387,456/174,438,284,504
  6. Step 6: Final answer
    x = 821,918,055,890.37

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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.