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Finding the Third Proportional to 6,071,932.13 and 14,333,754.94

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Solution

The third proportional to 6,071,932.13 and 14,333,754.94 is: 33,837,092.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071,932.13 : 14,333,754.94 = 14,333,754.94 : x
  2. Step 2: Convert to fraction form
    6,071,932.13/14,333,754.94 = 14,333,754.94/x
  3. Step 3: Cross multiply
    6,071,932.13x = 14,333,754.94 × 14,333,754.94
  4. Step 4: Simplify right side
    6,071,932.13x = 205,456,530,608,305.62
  5. Step 5: Solve for x
    x = 205,456,530,608,305.62/6,071,932.13
  6. Step 6: Final answer
    x = 33,837,092.77

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.