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Finding the Third Proportional to 355,767,629,315 and 541,987,374,239

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Solution

The third proportional to 355,767,629,315 and 541,987,374,239 is: 825,680,274,509.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,767,629,315 : 541,987,374,239 = 541,987,374,239 : x
  2. Step 2: Convert to fraction form
    355,767,629,315/541,987,374,239 = 541,987,374,239/x
  3. Step 3: Cross multiply
    355,767,629,315x = 541,987,374,239 × 541,987,374,239
  4. Step 4: Simplify right side
    355,767,629,315x = 293,750,313,834,485,825,667,072
  5. Step 5: Solve for x
    x = 293,750,313,834,485,825,667,072/355,767,629,315
  6. Step 6: Final answer
    x = 825,680,274,509.73

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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.