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Finding the Third Proportional to 6,286,320 and 9,311,616

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Solution

The third proportional to 6,286,320 and 9,311,616 is: 13,792,837.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286,320 : 9,311,616 = 9,311,616 : x
  2. Step 2: Convert to fraction form
    6,286,320/9,311,616 = 9,311,616/x
  3. Step 3: Cross multiply
    6,286,320x = 9,311,616 × 9,311,616
  4. Step 4: Simplify right side
    6,286,320x = 86,706,192,531,456
  5. Step 5: Solve for x
    x = 86,706,192,531,456/6,286,320
  6. Step 6: Final answer
    x = 13,792,837.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.