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Finding the Third Proportional to 30,659,198 and 48,095,301

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Solution

The third proportional to 30,659,198 and 48,095,301 is: 75,447,439.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,659,198 : 48,095,301 = 48,095,301 : x
  2. Step 2: Convert to fraction form
    30,659,198/48,095,301 = 48,095,301/x
  3. Step 3: Cross multiply
    30,659,198x = 48,095,301 × 48,095,301
  4. Step 4: Simplify right side
    30,659,198x = 2,313,157,978,280,601
  5. Step 5: Solve for x
    x = 2,313,157,978,280,601/30,659,198
  6. Step 6: Final answer
    x = 75,447,439.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.