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Finding the Third Proportional to 7,224,586.17 and 9,906,857.30

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Solution

The third proportional to 7,224,586.17 and 9,906,857.30 is: 13,584,974.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224,586.17 : 9,906,857.30 = 9,906,857.30 : x
  2. Step 2: Convert to fraction form
    7,224,586.17/9,906,857.30 = 9,906,857.30/x
  3. Step 3: Cross multiply
    7,224,586.17x = 9,906,857.30 × 9,906,857.30
  4. Step 4: Simplify right side
    7,224,586.17x = 98,145,821,500,645.44
  5. Step 5: Solve for x
    x = 98,145,821,500,645.44/7,224,586.17
  6. Step 6: Final answer
    x = 13,584,974.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.