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Finding the Third Proportional to 6,603,905.25 and 14,380,198.31

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Solution

The third proportional to 6,603,905.25 and 14,380,198.31 is: 31,313,305.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,603,905.25 : 14,380,198.31 = 14,380,198.31 : x
  2. Step 2: Convert to fraction form
    6,603,905.25/14,380,198.31 = 14,380,198.31/x
  3. Step 3: Cross multiply
    6,603,905.25x = 14,380,198.31 × 14,380,198.31
  4. Step 4: Simplify right side
    6,603,905.25x = 206,790,103,506,827.84
  5. Step 5: Solve for x
    x = 206,790,103,506,827.84/6,603,905.25
  6. Step 6: Final answer
    x = 31,313,305.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.