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Finding the Third Proportional to 57,897,959,544 and 126,048,200,976

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Solution

The third proportional to 57,897,959,544 and 126,048,200,976 is: 274,416,388,667.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,897,959,544 : 126,048,200,976 = 126,048,200,976 : x
  2. Step 2: Convert to fraction form
    57,897,959,544/126,048,200,976 = 126,048,200,976/x
  3. Step 3: Cross multiply
    57,897,959,544x = 126,048,200,976 × 126,048,200,976
  4. Step 4: Simplify right side
    57,897,959,544x = 15,888,148,969,286,086,426,624
  5. Step 5: Solve for x
    x = 15,888,148,969,286,086,426,624/57,897,959,544
  6. Step 6: Final answer
    x = 274,416,388,667.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.