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Finding the Third Proportional to 3,647,058.75 and 7,936,285.50

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Solution

The third proportional to 3,647,058.75 and 7,936,285.50 is: 17,269,978.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647,058.75 : 7,936,285.50 = 7,936,285.50 : x
  2. Step 2: Convert to fraction form
    3,647,058.75/7,936,285.50 = 7,936,285.50/x
  3. Step 3: Cross multiply
    3,647,058.75x = 7,936,285.50 × 7,936,285.50
  4. Step 4: Simplify right side
    3,647,058.75x = 62,984,627,537,510.25
  5. Step 5: Solve for x
    x = 62,984,627,537,510.25/3,647,058.75
  6. Step 6: Final answer
    x = 17,269,978.87

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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.