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Finding the Third Proportional to 3,639,086,880 and 5,200,349,980

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Solution

The third proportional to 3,639,086,880 and 5,200,349,980 is: 7,431,435,633.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639,086,880 : 5,200,349,980 = 5,200,349,980 : x
  2. Step 2: Convert to fraction form
    3,639,086,880/5,200,349,980 = 5,200,349,980/x
  3. Step 3: Cross multiply
    3,639,086,880x = 5,200,349,980 × 5,200,349,980
  4. Step 4: Simplify right side
    3,639,086,880x = 27,043,639,914,486,001,664
  5. Step 5: Solve for x
    x = 27,043,639,914,486,001,664/3,639,086,880
  6. Step 6: Final answer
    x = 7,431,435,633.79

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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.