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Finding the Third Proportional to 5,889,319.50 and 12,724,231

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Solution

The third proportional to 5,889,319.50 and 12,724,231 is: 27,491,470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889,319.50 : 12,724,231 = 12,724,231 : x
  2. Step 2: Convert to fraction form
    5,889,319.50/12,724,231 = 12,724,231/x
  3. Step 3: Cross multiply
    5,889,319.50x = 12,724,231 × 12,724,231
  4. Step 4: Simplify right side
    5,889,319.50x = 161,906,054,541,361
  5. Step 5: Solve for x
    x = 161,906,054,541,361/5,889,319.50
  6. Step 6: Final answer
    x = 27,491,470.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.