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Finding the Third Proportional to 53,488,422,623 and 116,587,694,162

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Solution

The third proportional to 53,488,422,623 and 116,587,694,162 is: 254,123,972,318.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,488,422,623 : 116,587,694,162 = 116,587,694,162 : x
  2. Step 2: Convert to fraction form
    53,488,422,623/116,587,694,162 = 116,587,694,162/x
  3. Step 3: Cross multiply
    53,488,422,623x = 116,587,694,162 × 116,587,694,162
  4. Step 4: Simplify right side
    53,488,422,623x = 13,592,690,430,012,049,850,368
  5. Step 5: Solve for x
    x = 13,592,690,430,012,049,850,368/53,488,422,623
  6. Step 6: Final answer
    x = 254,123,972,318.59

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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.