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Finding the Third Proportional to 984,775,536 and 2,132,969,064

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Solution

The third proportional to 984,775,536 and 2,132,969,064 is: 4,619,892,413.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,775,536 : 2,132,969,064 = 2,132,969,064 : x
  2. Step 2: Convert to fraction form
    984,775,536/2,132,969,064 = 2,132,969,064/x
  3. Step 3: Cross multiply
    984,775,536x = 2,132,969,064 × 2,132,969,064
  4. Step 4: Simplify right side
    984,775,536x = 4,549,557,027,981,036,032
  5. Step 5: Solve for x
    x = 4,549,557,027,981,036,032/984,775,536
  6. Step 6: Final answer
    x = 4,619,892,413.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.