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Finding the Third Proportional to 9,204,206 and 14,407,222

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Solution

The third proportional to 9,204,206 and 14,407,222 is: 22,551,434.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204,206 : 14,407,222 = 14,407,222 : x
  2. Step 2: Convert to fraction form
    9,204,206/14,407,222 = 14,407,222/x
  3. Step 3: Cross multiply
    9,204,206x = 14,407,222 × 14,407,222
  4. Step 4: Simplify right side
    9,204,206x = 207,568,045,757,284
  5. Step 5: Solve for x
    x = 207,568,045,757,284/9,204,206
  6. Step 6: Final answer
    x = 22,551,434.18

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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.