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Finding the Third Proportional to 9,458,049 and 14,675,006

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Solution

The third proportional to 9,458,049 and 14,675,006 is: 22,769,579.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458,049 : 14,675,006 = 14,675,006 : x
  2. Step 2: Convert to fraction form
    9,458,049/14,675,006 = 14,675,006/x
  3. Step 3: Cross multiply
    9,458,049x = 14,675,006 × 14,675,006
  4. Step 4: Simplify right side
    9,458,049x = 215,355,801,100,036
  5. Step 5: Solve for x
    x = 215,355,801,100,036/9,458,049
  6. Step 6: Final answer
    x = 22,769,579.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.