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Finding the Third Proportional to 4,551,217 and 9,777,217

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Solution

The third proportional to 4,551,217 and 9,777,217 is: 21,004,046.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,551,217 : 9,777,217 = 9,777,217 : x
  2. Step 2: Convert to fraction form
    4,551,217/9,777,217 = 9,777,217/x
  3. Step 3: Cross multiply
    4,551,217x = 9,777,217 × 9,777,217
  4. Step 4: Simplify right side
    4,551,217x = 95,593,972,265,089
  5. Step 5: Solve for x
    x = 95,593,972,265,089/4,551,217
  6. Step 6: Final answer
    x = 21,004,046.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.