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Finding the Third Proportional to 5,542,560,690 and 11,477,997,474

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Solution

The third proportional to 5,542,560,690 and 11,477,997,474 is: 23,769,595,568.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542,560,690 : 11,477,997,474 = 11,477,997,474 : x
  2. Step 2: Convert to fraction form
    5,542,560,690/11,477,997,474 = 11,477,997,474/x
  3. Step 3: Cross multiply
    5,542,560,690x = 11,477,997,474 × 11,477,997,474
  4. Step 4: Simplify right side
    5,542,560,690x = 131,744,426,013,150,380,032
  5. Step 5: Solve for x
    x = 131,744,426,013,150,380,032/5,542,560,690
  6. Step 6: Final answer
    x = 23,769,595,568.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.