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Finding the Third Proportional to 14,198,906 and 20,304,591

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Solution

The third proportional to 14,198,906 and 20,304,591 is: 29,035,787.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,198,906 : 20,304,591 = 20,304,591 : x
  2. Step 2: Convert to fraction form
    14,198,906/20,304,591 = 20,304,591/x
  3. Step 3: Cross multiply
    14,198,906x = 20,304,591 × 20,304,591
  4. Step 4: Simplify right side
    14,198,906x = 412,276,415,677,281
  5. Step 5: Solve for x
    x = 412,276,415,677,281/14,198,906
  6. Step 6: Final answer
    x = 29,035,787.38

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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.