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Finding the Third Proportional to 3,205,720 and 6,769,136

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Solution

The third proportional to 3,205,720 and 6,769,136 is: 14,293,575.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205,720 : 6,769,136 = 6,769,136 : x
  2. Step 2: Convert to fraction form
    3,205,720/6,769,136 = 6,769,136/x
  3. Step 3: Cross multiply
    3,205,720x = 6,769,136 × 6,769,136
  4. Step 4: Simplify right side
    3,205,720x = 45,821,202,186,496
  5. Step 5: Solve for x
    x = 45,821,202,186,496/3,205,720
  6. Step 6: Final answer
    x = 14,293,575.92

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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.