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Finding the Third Proportional to 6,188,251.50 and 13,441,443.19

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Solution

The third proportional to 6,188,251.50 and 13,441,443.19 is: 29,196,032.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188,251.50 : 13,441,443.19 = 13,441,443.19 : x
  2. Step 2: Convert to fraction form
    6,188,251.50/13,441,443.19 = 13,441,443.19/x
  3. Step 3: Cross multiply
    6,188,251.50x = 13,441,443.19 × 13,441,443.19
  4. Step 4: Simplify right side
    6,188,251.50x = 180,672,394,962,790.16
  5. Step 5: Solve for x
    x = 180,672,394,962,790.16/6,188,251.50
  6. Step 6: Final answer
    x = 29,196,032.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.