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Finding the Third Proportional to 355,767,629,355 and 541,987,374,301.50

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Solution

The third proportional to 355,767,629,355 and 541,987,374,301.50 is: 825,680,274,607.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,767,629,355 : 541,987,374,301.50 = 541,987,374,301.50 : x
  2. Step 2: Convert to fraction form
    355,767,629,355/541,987,374,301.50 = 541,987,374,301.50/x
  3. Step 3: Cross multiply
    355,767,629,355x = 541,987,374,301.50 × 541,987,374,301.50
  4. Step 4: Simplify right side
    355,767,629,355x = 293,750,313,902,234,270,695,424
  5. Step 5: Solve for x
    x = 293,750,313,902,234,270,695,424/355,767,629,355
  6. Step 6: Final answer
    x = 825,680,274,607.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.