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Finding the Third Proportional to 54,303,508,632 and 116,906,284,168

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Solution

The third proportional to 54,303,508,632 and 116,906,284,168 is: 251,679,488,531.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,303,508,632 : 116,906,284,168 = 116,906,284,168 : x
  2. Step 2: Convert to fraction form
    54,303,508,632/116,906,284,168 = 116,906,284,168/x
  3. Step 3: Cross multiply
    54,303,508,632x = 116,906,284,168 × 116,906,284,168
  4. Step 4: Simplify right side
    54,303,508,632x = 13,667,079,277,969,166,827,520
  5. Step 5: Solve for x
    x = 13,667,079,277,969,166,827,520/54,303,508,632
  6. Step 6: Final answer
    x = 251,679,488,531.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.