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Finding the Third Proportional to 14,198,904 and 20,304,588

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Solution

The third proportional to 14,198,904 and 20,304,588 is: 29,035,782.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,198,904 : 20,304,588 = 20,304,588 : x
  2. Step 2: Convert to fraction form
    14,198,904/20,304,588 = 20,304,588/x
  3. Step 3: Cross multiply
    14,198,904x = 20,304,588 × 20,304,588
  4. Step 4: Simplify right side
    14,198,904x = 412,276,293,849,744
  5. Step 5: Solve for x
    x = 412,276,293,849,744/14,198,904
  6. Step 6: Final answer
    x = 29,035,782.89

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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.