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Finding the Third Proportional to 11,586,663 and 17,025,285

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Solution

The third proportional to 11,586,663 and 17,025,285 is: 25,016,722.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586,663 : 17,025,285 = 17,025,285 : x
  2. Step 2: Convert to fraction form
    11,586,663/17,025,285 = 17,025,285/x
  3. Step 3: Cross multiply
    11,586,663x = 17,025,285 × 17,025,285
  4. Step 4: Simplify right side
    11,586,663x = 289,860,329,331,225
  5. Step 5: Solve for x
    x = 289,860,329,331,225/11,586,663
  6. Step 6: Final answer
    x = 25,016,722.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.