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Finding the Third Proportional to 58,146,094,824 and 126,215,853,744

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Solution

The third proportional to 58,146,094,824 and 126,215,853,744 is: 273,972,685,260.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,146,094,824 : 126,215,853,744 = 126,215,853,744 : x
  2. Step 2: Convert to fraction form
    58,146,094,824/126,215,853,744 = 126,215,853,744/x
  3. Step 3: Cross multiply
    58,146,094,824x = 126,215,853,744 × 126,215,853,744
  4. Step 4: Simplify right side
    58,146,094,824x = 15,930,441,736,326,798,639,104
  5. Step 5: Solve for x
    x = 15,930,441,736,326,798,639,104/58,146,094,824
  6. Step 6: Final answer
    x = 273,972,685,260.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.