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Finding the Third Proportional to 4,095,729 and 9,100,514

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Solution

The third proportional to 4,095,729 and 9,100,514 is: 20,220,906.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095,729 : 9,100,514 = 9,100,514 : x
  2. Step 2: Convert to fraction form
    4,095,729/9,100,514 = 9,100,514/x
  3. Step 3: Cross multiply
    4,095,729x = 9,100,514 × 9,100,514
  4. Step 4: Simplify right side
    4,095,729x = 82,819,355,064,196
  5. Step 5: Solve for x
    x = 82,819,355,064,196/4,095,729
  6. Step 6: Final answer
    x = 20,220,906.97

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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.