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Finding the Third Proportional to 2,955,692 and 6,382,912

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Solution

The third proportional to 2,955,692 and 6,382,912 is: 13,784,103.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955,692 : 6,382,912 = 6,382,912 : x
  2. Step 2: Convert to fraction form
    2,955,692/6,382,912 = 6,382,912/x
  3. Step 3: Cross multiply
    2,955,692x = 6,382,912 × 6,382,912
  4. Step 4: Simplify right side
    2,955,692x = 40,741,565,599,744
  5. Step 5: Solve for x
    x = 40,741,565,599,744/2,955,692
  6. Step 6: Final answer
    x = 13,784,103.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.