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Finding the Third Proportional to 8,589,976 and 18,409,365

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Solution

The third proportional to 8,589,976 and 18,409,365 is: 39,453,511.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589,976 : 18,409,365 = 18,409,365 : x
  2. Step 2: Convert to fraction form
    8,589,976/18,409,365 = 18,409,365/x
  3. Step 3: Cross multiply
    8,589,976x = 18,409,365 × 18,409,365
  4. Step 4: Simplify right side
    8,589,976x = 338,904,719,703,225
  5. Step 5: Solve for x
    x = 338,904,719,703,225/8,589,976
  6. Step 6: Final answer
    x = 39,453,511.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.