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Finding the Third Proportional to 3,836,984,874 and 8,349,615,201

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Solution

The third proportional to 3,836,984,874 and 8,349,615,201 is: 18,169,494,093.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836,984,874 : 8,349,615,201 = 8,349,615,201 : x
  2. Step 2: Convert to fraction form
    3,836,984,874/8,349,615,201 = 8,349,615,201/x
  3. Step 3: Cross multiply
    3,836,984,874x = 8,349,615,201 × 8,349,615,201
  4. Step 4: Simplify right side
    3,836,984,874x = 69,716,074,004,770,267,136
  5. Step 5: Solve for x
    x = 69,716,074,004,770,267,136/3,836,984,874
  6. Step 6: Final answer
    x = 18,169,494,093.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.