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Finding the Third Proportional to 3,647,138 and 7,936,470

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Solution

The third proportional to 3,647,138 and 7,936,470 is: 17,270,406.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647,138 : 7,936,470 = 7,936,470 : x
  2. Step 2: Convert to fraction form
    3,647,138/7,936,470 = 7,936,470/x
  3. Step 3: Cross multiply
    3,647,138x = 7,936,470 × 7,936,470
  4. Step 4: Simplify right side
    3,647,138x = 62,987,556,060,900
  5. Step 5: Solve for x
    x = 62,987,556,060,900/3,647,138
  6. Step 6: Final answer
    x = 17,270,406.57

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.