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Finding the Third Proportional to 8,857,512 and 14,463,396

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Solution

The third proportional to 8,857,512 and 14,463,396 is: 23,617,221.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,857,512 : 14,463,396 = 14,463,396 : x
  2. Step 2: Convert to fraction form
    8,857,512/14,463,396 = 14,463,396/x
  3. Step 3: Cross multiply
    8,857,512x = 14,463,396 × 14,463,396
  4. Step 4: Simplify right side
    8,857,512x = 209,189,823,852,816
  5. Step 5: Solve for x
    x = 209,189,823,852,816/8,857,512
  6. Step 6: Final answer
    x = 23,617,221.61

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.