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Finding the Third Proportional to 3,647,018.25 and 7,936,204.50

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Solution

The third proportional to 3,647,018.25 and 7,936,204.50 is: 17,269,818.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647,018.25 : 7,936,204.50 = 7,936,204.50 : x
  2. Step 2: Convert to fraction form
    3,647,018.25/7,936,204.50 = 7,936,204.50/x
  3. Step 3: Cross multiply
    3,647,018.25x = 7,936,204.50 × 7,936,204.50
  4. Step 4: Simplify right side
    3,647,018.25x = 62,983,341,865,820.25
  5. Step 5: Solve for x
    x = 62,983,341,865,820.25/3,647,018.25
  6. Step 6: Final answer
    x = 17,269,818.12

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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.