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Finding the Third Proportional to 6,815,855 and 14,589,345

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Solution

The third proportional to 6,815,855 and 14,589,345 is: 31,228,508.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815,855 : 14,589,345 = 14,589,345 : x
  2. Step 2: Convert to fraction form
    6,815,855/14,589,345 = 14,589,345/x
  3. Step 3: Cross multiply
    6,815,855x = 14,589,345 × 14,589,345
  4. Step 4: Simplify right side
    6,815,855x = 212,848,987,529,025
  5. Step 5: Solve for x
    x = 212,848,987,529,025/6,815,855
  6. Step 6: Final answer
    x = 31,228,508.75

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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.