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Finding the Third Proportional to 3,213,056 and 6,853,120

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Solution

The third proportional to 3,213,056 and 6,853,120 is: 14,617,004.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213,056 : 6,853,120 = 6,853,120 : x
  2. Step 2: Convert to fraction form
    3,213,056/6,853,120 = 6,853,120/x
  3. Step 3: Cross multiply
    3,213,056x = 6,853,120 × 6,853,120
  4. Step 4: Simplify right side
    3,213,056x = 46,965,253,734,400
  5. Step 5: Solve for x
    x = 46,965,253,734,400/3,213,056
  6. Step 6: Final answer
    x = 14,617,004.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.