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Finding the Third Proportional to 6,469,934.06 and 13,848,726.94

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Solution

The third proportional to 6,469,934.06 and 13,848,726.94 is: 29,642,842.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469,934.06 : 13,848,726.94 = 13,848,726.94 : x
  2. Step 2: Convert to fraction form
    6,469,934.06/13,848,726.94 = 13,848,726.94/x
  3. Step 3: Cross multiply
    6,469,934.06x = 13,848,726.94 × 13,848,726.94
  4. Step 4: Simplify right side
    6,469,934.06x = 191,787,237,789,438.12
  5. Step 5: Solve for x
    x = 191,787,237,789,438.12/6,469,934.06
  6. Step 6: Final answer
    x = 29,642,842.71

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.