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Finding the Third Proportional to 4,102,418 and 8,992,093

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Solution

The third proportional to 4,102,418 and 8,992,093 is: 19,709,775.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102,418 : 8,992,093 = 8,992,093 : x
  2. Step 2: Convert to fraction form
    4,102,418/8,992,093 = 8,992,093/x
  3. Step 3: Cross multiply
    4,102,418x = 8,992,093 × 8,992,093
  4. Step 4: Simplify right side
    4,102,418x = 80,857,736,520,649
  5. Step 5: Solve for x
    x = 80,857,736,520,649/4,102,418
  6. Step 6: Final answer
    x = 19,709,775.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.