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Finding the Third Proportional to 8,084,016 and 17,226,297

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Solution

The third proportional to 8,084,016 and 17,226,297 is: 36,707,659.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,084,016 : 17,226,297 = 17,226,297 : x
  2. Step 2: Convert to fraction form
    8,084,016/17,226,297 = 17,226,297/x
  3. Step 3: Cross multiply
    8,084,016x = 17,226,297 × 17,226,297
  4. Step 4: Simplify right side
    8,084,016x = 296,745,308,332,209
  5. Step 5: Solve for x
    x = 296,745,308,332,209/8,084,016
  6. Step 6: Final answer
    x = 36,707,659.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.