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Finding the Third Proportional to 2,648,448,049.50 and 5,677,147,662.75

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Solution

The third proportional to 2,648,448,049.50 and 5,677,147,662.75 is: 12,169,393,162.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648,448,049.50 : 5,677,147,662.75 = 5,677,147,662.75 : x
  2. Step 2: Convert to fraction form
    2,648,448,049.50/5,677,147,662.75 = 5,677,147,662.75/x
  3. Step 3: Cross multiply
    2,648,448,049.50x = 5,677,147,662.75 × 5,677,147,662.75
  4. Step 4: Simplify right side
    2,648,448,049.50x = 32,230,005,584,667,787,264
  5. Step 5: Solve for x
    x = 32,230,005,584,667,787,264/2,648,448,049.50
  6. Step 6: Final answer
    x = 12,169,393,162.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.