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Finding the Third Proportional to 3,093,763,170 and 4,906,900,341

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Solution

The third proportional to 3,093,763,170 and 4,906,900,341 is: 7,782,648,390.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093,763,170 : 4,906,900,341 = 4,906,900,341 : x
  2. Step 2: Convert to fraction form
    3,093,763,170/4,906,900,341 = 4,906,900,341/x
  3. Step 3: Cross multiply
    3,093,763,170x = 4,906,900,341 × 4,906,900,341
  4. Step 4: Simplify right side
    3,093,763,170x = 24,077,670,956,505,915,392
  5. Step 5: Solve for x
    x = 24,077,670,956,505,915,392/3,093,763,170
  6. Step 6: Final answer
    x = 7,782,648,390.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.