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Finding the Third Proportional to 4,396,963.50 and 6,794,758.41

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Solution

The third proportional to 4,396,963.50 and 6,794,758.41 is: 10,500,142.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,396,963.50 : 6,794,758.41 = 6,794,758.41 : x
  2. Step 2: Convert to fraction form
    4,396,963.50/6,794,758.41 = 6,794,758.41/x
  3. Step 3: Cross multiply
    4,396,963.50x = 6,794,758.41 × 6,794,758.41
  4. Step 4: Simplify right side
    4,396,963.50x = 46,168,741,799,305.04
  5. Step 5: Solve for x
    x = 46,168,741,799,305.04/4,396,963.50
  6. Step 6: Final answer
    x = 10,500,142.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.