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Finding the Third Proportional to 8,172,032 and 17,759,296

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Solution

The third proportional to 8,172,032 and 17,759,296 is: 38,594,145.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172,032 : 17,759,296 = 17,759,296 : x
  2. Step 2: Convert to fraction form
    8,172,032/17,759,296 = 17,759,296/x
  3. Step 3: Cross multiply
    8,172,032x = 17,759,296 × 17,759,296
  4. Step 4: Simplify right side
    8,172,032x = 315,392,594,415,616
  5. Step 5: Solve for x
    x = 315,392,594,415,616/8,172,032
  6. Step 6: Final answer
    x = 38,594,145.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.