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Finding the Third Proportional to 8,147,703 and 17,696,697

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Solution

The third proportional to 8,147,703 and 17,696,697 is: 38,436,978.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147,703 : 17,696,697 = 17,696,697 : x
  2. Step 2: Convert to fraction form
    8,147,703/17,696,697 = 17,696,697/x
  3. Step 3: Cross multiply
    8,147,703x = 17,696,697 × 17,696,697
  4. Step 4: Simplify right side
    8,147,703x = 313,173,084,709,809
  5. Step 5: Solve for x
    x = 313,173,084,709,809/8,147,703
  6. Step 6: Final answer
    x = 38,436,978.46

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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.