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Finding the Third Proportional to 3,101,954.06 and 6,816,198.94

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Solution

The third proportional to 3,101,954.06 and 6,816,198.94 is: 14,977,838.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101,954.06 : 6,816,198.94 = 6,816,198.94 : x
  2. Step 2: Convert to fraction form
    3,101,954.06/6,816,198.94 = 6,816,198.94/x
  3. Step 3: Cross multiply
    3,101,954.06x = 6,816,198.94 × 6,816,198.94
  4. Step 4: Simplify right side
    3,101,954.06x = 46,460,567,955,576.12
  5. Step 5: Solve for x
    x = 46,460,567,955,576.12/3,101,954.06
  6. Step 6: Final answer
    x = 14,977,838.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.