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Finding the Third Proportional to 3,212,840 and 6,757,009

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Solution

The third proportional to 3,212,840 and 6,757,009 is: 14,210,844.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212,840 : 6,757,009 = 6,757,009 : x
  2. Step 2: Convert to fraction form
    3,212,840/6,757,009 = 6,757,009/x
  3. Step 3: Cross multiply
    3,212,840x = 6,757,009 × 6,757,009
  4. Step 4: Simplify right side
    3,212,840x = 45,657,170,626,081
  5. Step 5: Solve for x
    x = 45,657,170,626,081/3,212,840
  6. Step 6: Final answer
    x = 14,210,844.81

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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.