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Finding the Third Proportional to 53,032,489,809 and 114,891,930,291

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Solution

The third proportional to 53,032,489,809 and 114,891,930,291 is: 248,906,956,726.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,032,489,809 : 114,891,930,291 = 114,891,930,291 : x
  2. Step 2: Convert to fraction form
    53,032,489,809/114,891,930,291 = 114,891,930,291/x
  3. Step 3: Cross multiply
    53,032,489,809x = 114,891,930,291 × 114,891,930,291
  4. Step 4: Simplify right side
    53,032,489,809x = 13,200,155,645,992,004,222,976
  5. Step 5: Solve for x
    x = 13,200,155,645,992,004,222,976/53,032,489,809
  6. Step 6: Final answer
    x = 248,906,956,726.59

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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.