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Finding the Third Proportional to 3,305,308.78 and 6,909,553.13

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Solution

The third proportional to 3,305,308.78 and 6,909,553.13 is: 14,444,013.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305,308.78 : 6,909,553.13 = 6,909,553.13 : x
  2. Step 2: Convert to fraction form
    3,305,308.78/6,909,553.13 = 6,909,553.13/x
  3. Step 3: Cross multiply
    3,305,308.78x = 6,909,553.13 × 6,909,553.13
  4. Step 4: Simplify right side
    3,305,308.78x = 47,741,924,387,197.27
  5. Step 5: Solve for x
    x = 47,741,924,387,197.27/3,305,308.78
  6. Step 6: Final answer
    x = 14,444,013.42

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.