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Finding the Third Proportional to 3,212,838 and 6,757,005

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Solution

The third proportional to 3,212,838 and 6,757,005 is: 14,210,836.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212,838 : 6,757,005 = 6,757,005 : x
  2. Step 2: Convert to fraction form
    3,212,838/6,757,005 = 6,757,005/x
  3. Step 3: Cross multiply
    3,212,838x = 6,757,005 × 6,757,005
  4. Step 4: Simplify right side
    3,212,838x = 45,657,116,570,025
  5. Step 5: Solve for x
    x = 45,657,116,570,025/3,212,838
  6. Step 6: Final answer
    x = 14,210,836.83

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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.