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Finding the Third Proportional to 6,815,844 and 14,589,324

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Solution

The third proportional to 6,815,844 and 14,589,324 is: 31,228,469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815,844 : 14,589,324 = 14,589,324 : x
  2. Step 2: Convert to fraction form
    6,815,844/14,589,324 = 14,589,324/x
  3. Step 3: Cross multiply
    6,815,844x = 14,589,324 × 14,589,324
  4. Step 4: Simplify right side
    6,815,844x = 212,848,374,776,976
  5. Step 5: Solve for x
    x = 212,848,374,776,976/6,815,844
  6. Step 6: Final answer
    x = 31,228,469.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.