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Finding the Third Proportional to 23,286,782,170.50 and 50,653,649,550

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Solution

The third proportional to 23,286,782,170.50 and 50,653,649,550 is: 110,182,342,667.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,286,782,170.50 : 50,653,649,550 = 50,653,649,550 : x
  2. Step 2: Convert to fraction form
    23,286,782,170.50/50,653,649,550 = 50,653,649,550/x
  3. Step 3: Cross multiply
    23,286,782,170.50x = 50,653,649,550 × 50,653,649,550
  4. Step 4: Simplify right side
    23,286,782,170.50x = 2,565,792,212,734,215,454,720
  5. Step 5: Solve for x
    x = 2,565,792,212,734,215,454,720/23,286,782,170.50
  6. Step 6: Final answer
    x = 110,182,342,667.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.