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Finding the Third Proportional to 3,647,088 and 7,936,356

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Solution

The third proportional to 3,647,088 and 7,936,356 is: 17,270,147.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647,088 : 7,936,356 = 7,936,356 : x
  2. Step 2: Convert to fraction form
    3,647,088/7,936,356 = 7,936,356/x
  3. Step 3: Cross multiply
    3,647,088x = 7,936,356 × 7,936,356
  4. Step 4: Simplify right side
    3,647,088x = 62,985,746,558,736
  5. Step 5: Solve for x
    x = 62,985,746,558,736/3,647,088
  6. Step 6: Final answer
    x = 17,270,147.19

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Why These Related Problems?

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