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Finding the Third Proportional to 24,954,284,768 and 55,487,991,447

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Solution

The third proportional to 24,954,284,768 and 55,487,991,447 is: 123,382,305,822.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,954,284,768 : 55,487,991,447 = 55,487,991,447 : x
  2. Step 2: Convert to fraction form
    24,954,284,768/55,487,991,447 = 55,487,991,447/x
  3. Step 3: Cross multiply
    24,954,284,768x = 55,487,991,447 × 55,487,991,447
  4. Step 4: Simplify right side
    24,954,284,768x = 3,078,917,194,822,345,293,824
  5. Step 5: Solve for x
    x = 3,078,917,194,822,345,293,824/24,954,284,768
  6. Step 6: Final answer
    x = 123,382,305,822.31

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.