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Finding the Third Proportional to 3,639,086,874 and 5,200,349,982

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Solution

The third proportional to 3,639,086,874 and 5,200,349,982 is: 7,431,435,651.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639,086,874 : 5,200,349,982 = 5,200,349,982 : x
  2. Step 2: Convert to fraction form
    3,639,086,874/5,200,349,982 = 5,200,349,982/x
  3. Step 3: Cross multiply
    3,639,086,874x = 5,200,349,982 × 5,200,349,982
  4. Step 4: Simplify right side
    3,639,086,874x = 27,043,639,935,287,398,400
  5. Step 5: Solve for x
    x = 27,043,639,935,287,398,400/3,639,086,874
  6. Step 6: Final answer
    x = 7,431,435,651.76

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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.