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Finding the Third Proportional to 7,382,827.50 and 11,555,109

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Solution

The third proportional to 7,382,827.50 and 11,555,109 is: 18,085,285.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382,827.50 : 11,555,109 = 11,555,109 : x
  2. Step 2: Convert to fraction form
    7,382,827.50/11,555,109 = 11,555,109/x
  3. Step 3: Cross multiply
    7,382,827.50x = 11,555,109 × 11,555,109
  4. Step 4: Simplify right side
    7,382,827.50x = 133,520,544,001,881
  5. Step 5: Solve for x
    x = 133,520,544,001,881/7,382,827.50
  6. Step 6: Final answer
    x = 18,085,285.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.