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Finding the Third Proportional to 355,767,629,310 and 541,987,374,231

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Solution

The third proportional to 355,767,629,310 and 541,987,374,231 is: 825,680,274,496.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,767,629,310 : 541,987,374,231 = 541,987,374,231 : x
  2. Step 2: Convert to fraction form
    355,767,629,310/541,987,374,231 = 541,987,374,231/x
  3. Step 3: Cross multiply
    355,767,629,310x = 541,987,374,231 × 541,987,374,231
  4. Step 4: Simplify right side
    355,767,629,310x = 293,750,313,825,814,051,815,424
  5. Step 5: Solve for x
    x = 293,750,313,825,814,051,815,424/355,767,629,310
  6. Step 6: Final answer
    x = 825,680,274,496.96

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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.