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Finding the Third Proportional to 4,256,736 and 9,458,257

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Solution

The third proportional to 4,256,736 and 9,458,257 is: 21,015,779.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256,736 : 9,458,257 = 9,458,257 : x
  2. Step 2: Convert to fraction form
    4,256,736/9,458,257 = 9,458,257/x
  3. Step 3: Cross multiply
    4,256,736x = 9,458,257 × 9,458,257
  4. Step 4: Simplify right side
    4,256,736x = 89,458,625,478,049
  5. Step 5: Solve for x
    x = 89,458,625,478,049/4,256,736
  6. Step 6: Final answer
    x = 21,015,779.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.