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Finding the Third Proportional to 24,954,284,758 and 55,487,991,429

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Solution

The third proportional to 24,954,284,758 and 55,487,991,429 is: 123,382,305,791.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,954,284,758 : 55,487,991,429 = 55,487,991,429 : x
  2. Step 2: Convert to fraction form
    24,954,284,758/55,487,991,429 = 55,487,991,429/x
  3. Step 3: Cross multiply
    24,954,284,758x = 55,487,991,429 × 55,487,991,429
  4. Step 4: Simplify right side
    24,954,284,758x = 3,078,917,192,824,777,605,120
  5. Step 5: Solve for x
    x = 3,078,917,192,824,777,605,120/24,954,284,758
  6. Step 6: Final answer
    x = 123,382,305,791.70

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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.