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Finding the Third Proportional to 3,399,097,395.38 and 7,314,755,579.44

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Solution

The third proportional to 3,399,097,395.38 and 7,314,755,579.44 is: 15,741,134,472.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399,097,395.38 : 7,314,755,579.44 = 7,314,755,579.44 : x
  2. Step 2: Convert to fraction form
    3,399,097,395.38/7,314,755,579.44 = 7,314,755,579.44/x
  3. Step 3: Cross multiply
    3,399,097,395.38x = 7,314,755,579.44 × 7,314,755,579.44
  4. Step 4: Simplify right side
    3,399,097,395.38x = 53,505,649,186,907,643,904
  5. Step 5: Solve for x
    x = 53,505,649,186,907,643,904/3,399,097,395.38
  6. Step 6: Final answer
    x = 15,741,134,472.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.