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Finding the Third Proportional to 3,205,716 and 6,769,128

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Solution

The third proportional to 3,205,716 and 6,769,128 is: 14,293,559.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205,716 : 6,769,128 = 6,769,128 : x
  2. Step 2: Convert to fraction form
    3,205,716/6,769,128 = 6,769,128/x
  3. Step 3: Cross multiply
    3,205,716x = 6,769,128 × 6,769,128
  4. Step 4: Simplify right side
    3,205,716x = 45,821,093,880,384
  5. Step 5: Solve for x
    x = 45,821,093,880,384/3,205,716
  6. Step 6: Final answer
    x = 14,293,559.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.