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Finding the Third Proportional to 57,897,956,736 and 126,048,195,360

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Solution

The third proportional to 57,897,956,736 and 126,048,195,360 is: 274,416,377,523.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,897,956,736 : 126,048,195,360 = 126,048,195,360 : x
  2. Step 2: Convert to fraction form
    57,897,956,736/126,048,195,360 = 126,048,195,360/x
  3. Step 3: Cross multiply
    57,897,956,736x = 126,048,195,360 × 126,048,195,360
  4. Step 4: Simplify right side
    57,897,956,736x = 15,888,147,553,512,725,676,032
  5. Step 5: Solve for x
    x = 15,888,147,553,512,725,676,032/57,897,956,736
  6. Step 6: Final answer
    x = 274,416,377,523.63

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Why These Related Problems?

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