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Finding the Third Proportional to 94,785,129,543 and 197,415,568,014

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Solution

The third proportional to 94,785,129,543 and 197,415,568,014 is: 411,171,105,448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,785,129,543 : 197,415,568,014 = 197,415,568,014 : x
  2. Step 2: Convert to fraction form
    94,785,129,543/197,415,568,014 = 197,415,568,014/x
  3. Step 3: Cross multiply
    94,785,129,543x = 197,415,568,014 × 197,415,568,014
  4. Step 4: Simplify right side
    94,785,129,543x = 38,972,906,494,290,263,277,568
  5. Step 5: Solve for x
    x = 38,972,906,494,290,263,277,568/94,785,129,543
  6. Step 6: Final answer
    x = 411,171,105,448.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.