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Finding the Third Proportional to 3,836,496 and 8,403,936

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Solution

The third proportional to 3,836,496 and 8,403,936 is: 18,409,022.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836,496 : 8,403,936 = 8,403,936 : x
  2. Step 2: Convert to fraction form
    3,836,496/8,403,936 = 8,403,936/x
  3. Step 3: Cross multiply
    3,836,496x = 8,403,936 × 8,403,936
  4. Step 4: Simplify right side
    3,836,496x = 70,626,140,292,096
  5. Step 5: Solve for x
    x = 70,626,140,292,096/3,836,496
  6. Step 6: Final answer
    x = 18,409,022.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.