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Finding the Third Proportional to 4,305,746 and 10,149,845

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Solution

The third proportional to 4,305,746 and 10,149,845 is: 23,926,017.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305,746 : 10,149,845 = 10,149,845 : x
  2. Step 2: Convert to fraction form
    4,305,746/10,149,845 = 10,149,845/x
  3. Step 3: Cross multiply
    4,305,746x = 10,149,845 × 10,149,845
  4. Step 4: Simplify right side
    4,305,746x = 103,019,353,524,025
  5. Step 5: Solve for x
    x = 103,019,353,524,025/4,305,746
  6. Step 6: Final answer
    x = 23,926,017.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.