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Finding the Third Proportional to 10,225,923 and 16,279,315

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Solution

The third proportional to 10,225,923 and 16,279,315 is: 25,916,105.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225,923 : 16,279,315 = 16,279,315 : x
  2. Step 2: Convert to fraction form
    10,225,923/16,279,315 = 16,279,315/x
  3. Step 3: Cross multiply
    10,225,923x = 16,279,315 × 16,279,315
  4. Step 4: Simplify right side
    10,225,923x = 265,016,096,869,225
  5. Step 5: Solve for x
    x = 265,016,096,869,225/10,225,923
  6. Step 6: Final answer
    x = 25,916,105.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.