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Finding the Third Proportional to 5,865,286.50 and 12,266,856

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Solution

The third proportional to 5,865,286.50 and 12,266,856 is: 25,655,312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865,286.50 : 12,266,856 = 12,266,856 : x
  2. Step 2: Convert to fraction form
    5,865,286.50/12,266,856 = 12,266,856/x
  3. Step 3: Cross multiply
    5,865,286.50x = 12,266,856 × 12,266,856
  4. Step 4: Simplify right side
    5,865,286.50x = 150,475,756,124,736
  5. Step 5: Solve for x
    x = 150,475,756,124,736/5,865,286.50
  6. Step 6: Final answer
    x = 25,655,312.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.