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Finding the Third Proportional to 55,924,373,757 and 122,675,994,264

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Solution

The third proportional to 55,924,373,757 and 122,675,994,264 is: 269,102,692,755.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,924,373,757 : 122,675,994,264 = 122,675,994,264 : x
  2. Step 2: Convert to fraction form
    55,924,373,757/122,675,994,264 = 122,675,994,264/x
  3. Step 3: Cross multiply
    55,924,373,757x = 122,675,994,264 × 122,675,994,264
  4. Step 4: Simplify right side
    55,924,373,757x = 15,049,399,568,660,961,427,456
  5. Step 5: Solve for x
    x = 15,049,399,568,660,961,427,456/55,924,373,757
  6. Step 6: Final answer
    x = 269,102,692,755.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.