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Finding the Third Proportional to 14,198,984 and 20,304,716

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Solution

The third proportional to 14,198,984 and 20,304,716 is: 29,035,985.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,198,984 : 20,304,716 = 20,304,716 : x
  2. Step 2: Convert to fraction form
    14,198,984/20,304,716 = 20,304,716/x
  3. Step 3: Cross multiply
    14,198,984x = 20,304,716 × 20,304,716
  4. Step 4: Simplify right side
    14,198,984x = 412,281,491,840,656
  5. Step 5: Solve for x
    x = 412,281,491,840,656/14,198,984
  6. Step 6: Final answer
    x = 29,035,985.38

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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.