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Finding the Third Proportional to 2,825,359.50 and 6,188,172

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Solution

The third proportional to 2,825,359.50 and 6,188,172 is: 13,553,486.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825,359.50 : 6,188,172 = 6,188,172 : x
  2. Step 2: Convert to fraction form
    2,825,359.50/6,188,172 = 6,188,172/x
  3. Step 3: Cross multiply
    2,825,359.50x = 6,188,172 × 6,188,172
  4. Step 4: Simplify right side
    2,825,359.50x = 38,293,472,701,584
  5. Step 5: Solve for x
    x = 38,293,472,701,584/2,825,359.50
  6. Step 6: Final answer
    x = 13,553,486.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.