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Finding the Third Proportional to 174,438,284,482 and 378,647,561,252

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Solution

The third proportional to 174,438,284,482 and 378,647,561,252 is: 821,918,055,820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,438,284,482 : 378,647,561,252 = 378,647,561,252 : x
  2. Step 2: Convert to fraction form
    174,438,284,482/378,647,561,252 = 378,647,561,252/x
  3. Step 3: Cross multiply
    174,438,284,482x = 378,647,561,252 × 378,647,561,252
  4. Step 4: Simplify right side
    174,438,284,482x = 143,373,975,642,087,090,028,544
  5. Step 5: Solve for x
    x = 143,373,975,642,087,090,028,544/174,438,284,482
  6. Step 6: Final answer
    x = 821,918,055,820.38

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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.