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Finding the Third Proportional to 174,438,284,488 and 378,647,561,260

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Solution

The third proportional to 174,438,284,488 and 378,647,561,260 is: 821,918,055,826.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,438,284,488 : 378,647,561,260 = 378,647,561,260 : x
  2. Step 2: Convert to fraction form
    174,438,284,488/378,647,561,260 = 378,647,561,260/x
  3. Step 3: Cross multiply
    174,438,284,488x = 378,647,561,260 × 378,647,561,260
  4. Step 4: Simplify right side
    174,438,284,488x = 143,373,975,648,145,460,166,656
  5. Step 5: Solve for x
    x = 143,373,975,648,145,460,166,656/174,438,284,488
  6. Step 6: Final answer
    x = 821,918,055,826.84

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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.