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Finding the Third Proportional to 6,642,658.13 and 14,304,093.75

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Solution

The third proportional to 6,642,658.13 and 14,304,093.75 is: 30,801,991.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642,658.13 : 14,304,093.75 = 14,304,093.75 : x
  2. Step 2: Convert to fraction form
    6,642,658.13/14,304,093.75 = 14,304,093.75/x
  3. Step 3: Cross multiply
    6,642,658.13x = 14,304,093.75 × 14,304,093.75
  4. Step 4: Simplify right side
    6,642,658.13x = 204,607,098,008,789.06
  5. Step 5: Solve for x
    x = 204,607,098,008,789.06/6,642,658.13
  6. Step 6: Final answer
    x = 30,801,991.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.