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Finding the Third Proportional to 26,654,761,516,950 and 54,058,994,322,253

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Solution

The third proportional to 26,654,761,516,950 and 54,058,994,322,253 is: 109,638,004,649,751.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,654,761,516,950 : 54,058,994,322,253 = 54,058,994,322,253 : x
  2. Step 2: Convert to fraction form
    26,654,761,516,950/54,058,994,322,253 = 54,058,994,322,253/x
  3. Step 3: Cross multiply
    26,654,761,516,950x = 54,058,994,322,253 × 54,058,994,322,253
  4. Step 4: Simplify right side
    26,654,761,516,950x = 2,922,374,867,133,381,949,654,040,576
  5. Step 5: Solve for x
    x = 2,922,374,867,133,381,949,654,040,576/26,654,761,516,950
  6. Step 6: Final answer
    x = 109,638,004,649,751.52

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.