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Finding the Third Proportional to 3,383,796.94 and 7,046,431.31

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Solution

The third proportional to 3,383,796.94 and 7,046,431.31 is: 14,673,514.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383,796.94 : 7,046,431.31 = 7,046,431.31 : x
  2. Step 2: Convert to fraction form
    3,383,796.94/7,046,431.31 = 7,046,431.31/x
  3. Step 3: Cross multiply
    3,383,796.94x = 7,046,431.31 × 7,046,431.31
  4. Step 4: Simplify right side
    3,383,796.94x = 49,652,194,241,780.47
  5. Step 5: Solve for x
    x = 49,652,194,241,780.47/3,383,796.94
  6. Step 6: Final answer
    x = 14,673,514.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.