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Finding the Third Proportional to 3,211,036 and 6,737,345

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Solution

The third proportional to 3,211,036 and 6,737,345 is: 14,136,190.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211,036 : 6,737,345 = 6,737,345 : x
  2. Step 2: Convert to fraction form
    3,211,036/6,737,345 = 6,737,345/x
  3. Step 3: Cross multiply
    3,211,036x = 6,737,345 × 6,737,345
  4. Step 4: Simplify right side
    3,211,036x = 45,391,817,649,025
  5. Step 5: Solve for x
    x = 45,391,817,649,025/3,211,036
  6. Step 6: Final answer
    x = 14,136,190.83

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.