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Finding the Third Proportional to 9,204,200 and 14,407,212

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Solution

The third proportional to 9,204,200 and 14,407,212 is: 22,551,417.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204,200 : 14,407,212 = 14,407,212 : x
  2. Step 2: Convert to fraction form
    9,204,200/14,407,212 = 14,407,212/x
  3. Step 3: Cross multiply
    9,204,200x = 14,407,212 × 14,407,212
  4. Step 4: Simplify right side
    9,204,200x = 207,567,757,612,944
  5. Step 5: Solve for x
    x = 207,567,757,612,944/9,204,200
  6. Step 6: Final answer
    x = 22,551,417.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.