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Finding the Third Proportional to 5,952,318 and 8,382,216

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Solution

The third proportional to 5,952,318 and 8,382,216 is: 11,804,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952,318 : 8,382,216 = 8,382,216 : x
  2. Step 2: Convert to fraction form
    5,952,318/8,382,216 = 8,382,216/x
  3. Step 3: Cross multiply
    5,952,318x = 8,382,216 × 8,382,216
  4. Step 4: Simplify right side
    5,952,318x = 70,261,545,070,656
  5. Step 5: Solve for x
    x = 70,261,545,070,656/5,952,318
  6. Step 6: Final answer
    x = 11,804,064.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.