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Finding the Third Proportional to 4,551,216 and 9,777,215

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Solution

The third proportional to 4,551,216 and 9,777,215 is: 21,004,042.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,551,216 : 9,777,215 = 9,777,215 : x
  2. Step 2: Convert to fraction form
    4,551,216/9,777,215 = 9,777,215/x
  3. Step 3: Cross multiply
    4,551,216x = 9,777,215 × 9,777,215
  4. Step 4: Simplify right side
    4,551,216x = 95,593,933,156,225
  5. Step 5: Solve for x
    x = 95,593,933,156,225/4,551,216
  6. Step 6: Final answer
    x = 21,004,042.25

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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.