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Finding the Third Proportional to 9,204,210 and 14,407,228

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Solution

The third proportional to 9,204,210 and 14,407,228 is: 22,551,443.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204,210 : 14,407,228 = 14,407,228 : x
  2. Step 2: Convert to fraction form
    9,204,210/14,407,228 = 14,407,228/x
  3. Step 3: Cross multiply
    9,204,210x = 14,407,228 × 14,407,228
  4. Step 4: Simplify right side
    9,204,210x = 207,568,218,643,984
  5. Step 5: Solve for x
    x = 207,568,218,643,984/9,204,210
  6. Step 6: Final answer
    x = 22,551,443.16

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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.