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Finding the Third Proportional to 8,262,696 and 17,897,529

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Solution

The third proportional to 8,262,696 and 17,897,529 is: 38,767,194.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262,696 : 17,897,529 = 17,897,529 : x
  2. Step 2: Convert to fraction form
    8,262,696/17,897,529 = 17,897,529/x
  3. Step 3: Cross multiply
    8,262,696x = 17,897,529 × 17,897,529
  4. Step 4: Simplify right side
    8,262,696x = 320,321,544,305,841
  5. Step 5: Solve for x
    x = 320,321,544,305,841/8,262,696
  6. Step 6: Final answer
    x = 38,767,194.67

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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.