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Finding the Third Proportional to 3,212,854 and 6,757,036

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Solution

The third proportional to 3,212,854 and 6,757,036 is: 14,210,896.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212,854 : 6,757,036 = 6,757,036 : x
  2. Step 2: Convert to fraction form
    3,212,854/6,757,036 = 6,757,036/x
  3. Step 3: Cross multiply
    3,212,854x = 6,757,036 × 6,757,036
  4. Step 4: Simplify right side
    3,212,854x = 45,657,535,505,296
  5. Step 5: Solve for x
    x = 45,657,535,505,296/3,212,854
  6. Step 6: Final answer
    x = 14,210,896.45

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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.