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Finding the Third Proportional to 9,204,202 and 14,407,215

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Solution

The third proportional to 9,204,202 and 14,407,215 is: 22,551,422.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204,202 : 14,407,215 = 14,407,215 : x
  2. Step 2: Convert to fraction form
    9,204,202/14,407,215 = 14,407,215/x
  3. Step 3: Cross multiply
    9,204,202x = 14,407,215 × 14,407,215
  4. Step 4: Simplify right side
    9,204,202x = 207,567,844,056,225
  5. Step 5: Solve for x
    x = 207,567,844,056,225/9,204,202
  6. Step 6: Final answer
    x = 22,551,422.06

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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.