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Finding the Third Proportional to 3,647,076 and 7,936,317

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Solution

The third proportional to 3,647,076 and 7,936,317 is: 17,270,034.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647,076 : 7,936,317 = 7,936,317 : x
  2. Step 2: Convert to fraction form
    3,647,076/7,936,317 = 7,936,317/x
  3. Step 3: Cross multiply
    3,647,076x = 7,936,317 × 7,936,317
  4. Step 4: Simplify right side
    3,647,076x = 62,985,127,524,489
  5. Step 5: Solve for x
    x = 62,985,127,524,489/3,647,076
  6. Step 6: Final answer
    x = 17,270,034.28

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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.