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Finding the Third Proportional to 4,725,923 and 10,366,903

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Solution

The third proportional to 4,725,923 and 10,366,903 is: 22,741,097.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725,923 : 10,366,903 = 10,366,903 : x
  2. Step 2: Convert to fraction form
    4,725,923/10,366,903 = 10,366,903/x
  3. Step 3: Cross multiply
    4,725,923x = 10,366,903 × 10,366,903
  4. Step 4: Simplify right side
    4,725,923x = 107,472,677,811,409
  5. Step 5: Solve for x
    x = 107,472,677,811,409/4,725,923
  6. Step 6: Final answer
    x = 22,741,097.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.