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Finding the Third Proportional to 3,212,842 and 6,757,013

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Solution

The third proportional to 3,212,842 and 6,757,013 is: 14,210,852.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212,842 : 6,757,013 = 6,757,013 : x
  2. Step 2: Convert to fraction form
    3,212,842/6,757,013 = 6,757,013/x
  3. Step 3: Cross multiply
    3,212,842x = 6,757,013 × 6,757,013
  4. Step 4: Simplify right side
    3,212,842x = 45,657,224,682,169
  5. Step 5: Solve for x
    x = 45,657,224,682,169/3,212,842
  6. Step 6: Final answer
    x = 14,210,852.78

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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.