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Finding the Third Proportional to 3,639,086,878 and 5,200,349,978

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Solution

The third proportional to 3,639,086,878 and 5,200,349,978 is: 7,431,435,632.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639,086,878 : 5,200,349,978 = 5,200,349,978 : x
  2. Step 2: Convert to fraction form
    3,639,086,878/5,200,349,978 = 5,200,349,978/x
  3. Step 3: Cross multiply
    3,639,086,878x = 5,200,349,978 × 5,200,349,978
  4. Step 4: Simplify right side
    3,639,086,878x = 27,043,639,893,684,600,832
  5. Step 5: Solve for x
    x = 27,043,639,893,684,600,832/3,639,086,878
  6. Step 6: Final answer
    x = 7,431,435,632.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.