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Finding the Third Proportional to 3,205,713 and 6,769,122

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Solution

The third proportional to 3,205,713 and 6,769,122 is: 14,293,548.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205,713 : 6,769,122 = 6,769,122 : x
  2. Step 2: Convert to fraction form
    3,205,713/6,769,122 = 6,769,122/x
  3. Step 3: Cross multiply
    3,205,713x = 6,769,122 × 6,769,122
  4. Step 4: Simplify right side
    3,205,713x = 45,821,012,650,884
  5. Step 5: Solve for x
    x = 45,821,012,650,884/3,205,713
  6. Step 6: Final answer
    x = 14,293,548.00

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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.