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Finding the Third Proportional to 8,237,208 and 17,156,199

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Solution

The third proportional to 8,237,208 and 17,156,199 is: 35,732,394.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237,208 : 17,156,199 = 17,156,199 : x
  2. Step 2: Convert to fraction form
    8,237,208/17,156,199 = 17,156,199/x
  3. Step 3: Cross multiply
    8,237,208x = 17,156,199 × 17,156,199
  4. Step 4: Simplify right side
    8,237,208x = 294,335,164,127,601
  5. Step 5: Solve for x
    x = 294,335,164,127,601/8,237,208
  6. Step 6: Final answer
    x = 35,732,394.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.