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Finding the Third Proportional to 8,286,936 and 19,534,422

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Solution

The third proportional to 8,286,936 and 19,534,422 is: 46,047,615.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286,936 : 19,534,422 = 19,534,422 : x
  2. Step 2: Convert to fraction form
    8,286,936/19,534,422 = 19,534,422/x
  3. Step 3: Cross multiply
    8,286,936x = 19,534,422 × 19,534,422
  4. Step 4: Simplify right side
    8,286,936x = 381,593,642,874,084
  5. Step 5: Solve for x
    x = 381,593,642,874,084/8,286,936
  6. Step 6: Final answer
    x = 46,047,615.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.