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Finding the Third Proportional to 14,198,910 and 20,304,597

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Solution

The third proportional to 14,198,910 and 20,304,597 is: 29,035,796.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,198,910 : 20,304,597 = 20,304,597 : x
  2. Step 2: Convert to fraction form
    14,198,910/20,304,597 = 20,304,597/x
  3. Step 3: Cross multiply
    14,198,910x = 20,304,597 × 20,304,597
  4. Step 4: Simplify right side
    14,198,910x = 412,276,659,332,409
  5. Step 5: Solve for x
    x = 412,276,659,332,409/14,198,910
  6. Step 6: Final answer
    x = 29,035,796.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.