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Finding the Third Proportional to 7,330,084.50 and 15,633,640.50

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Solution

The third proportional to 7,330,084.50 and 15,633,640.50 is: 33,343,505.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,330,084.50 : 15,633,640.50 = 15,633,640.50 : x
  2. Step 2: Convert to fraction form
    7,330,084.50/15,633,640.50 = 15,633,640.50/x
  3. Step 3: Cross multiply
    7,330,084.50x = 15,633,640.50 × 15,633,640.50
  4. Step 4: Simplify right side
    7,330,084.50x = 244,410,715,283,240.25
  5. Step 5: Solve for x
    x = 244,410,715,283,240.25/7,330,084.50
  6. Step 6: Final answer
    x = 33,343,505.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.