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Finding the Third Proportional to 3,639,086,842 and 5,200,349,923

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Solution

The third proportional to 3,639,086,842 and 5,200,349,923 is: 7,431,435,548.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639,086,842 : 5,200,349,923 = 5,200,349,923 : x
  2. Step 2: Convert to fraction form
    3,639,086,842/5,200,349,923 = 5,200,349,923/x
  3. Step 3: Cross multiply
    3,639,086,842x = 5,200,349,923 × 5,200,349,923
  4. Step 4: Simplify right side
    3,639,086,842x = 27,043,639,321,646,104,576
  5. Step 5: Solve for x
    x = 27,043,639,321,646,104,576/3,639,086,842
  6. Step 6: Final answer
    x = 7,431,435,548.48

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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.