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Finding the Third Proportional to 3,080,675 and 6,869,696

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Solution

The third proportional to 3,080,675 and 6,869,696 is: 15,318,955.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,080,675 : 6,869,696 = 6,869,696 : x
  2. Step 2: Convert to fraction form
    3,080,675/6,869,696 = 6,869,696/x
  3. Step 3: Cross multiply
    3,080,675x = 6,869,696 × 6,869,696
  4. Step 4: Simplify right side
    3,080,675x = 47,192,723,132,416
  5. Step 5: Solve for x
    x = 47,192,723,132,416/3,080,675
  6. Step 6: Final answer
    x = 15,318,955.47

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.