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Finding the Third Proportional to 2,696,382 and 5,725,188

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Solution

The third proportional to 2,696,382 and 5,725,188 is: 12,156,206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696,382 : 5,725,188 = 5,725,188 : x
  2. Step 2: Convert to fraction form
    2,696,382/5,725,188 = 5,725,188/x
  3. Step 3: Cross multiply
    2,696,382x = 5,725,188 × 5,725,188
  4. Step 4: Simplify right side
    2,696,382x = 32,777,777,635,344
  5. Step 5: Solve for x
    x = 32,777,777,635,344/2,696,382
  6. Step 6: Final answer
    x = 12,156,206.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.