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Finding the Third Proportional to 7,675,147.50 and 16,792,388.25

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Solution

The third proportional to 7,675,147.50 and 16,792,388.25 is: 36,739,919.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675,147.50 : 16,792,388.25 = 16,792,388.25 : x
  2. Step 2: Convert to fraction form
    7,675,147.50/16,792,388.25 = 16,792,388.25/x
  3. Step 3: Cross multiply
    7,675,147.50x = 16,792,388.25 × 16,792,388.25
  4. Step 4: Simplify right side
    7,675,147.50x = 281,984,303,138,738.06
  5. Step 5: Solve for x
    x = 281,984,303,138,738.06/7,675,147.50
  6. Step 6: Final answer
    x = 36,739,919.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.