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Finding the Third Proportional to 8,464,950 and 18,520,092

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Solution

The third proportional to 8,464,950 and 18,520,092 is: 40,519,295.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464,950 : 18,520,092 = 18,520,092 : x
  2. Step 2: Convert to fraction form
    8,464,950/18,520,092 = 18,520,092/x
  3. Step 3: Cross multiply
    8,464,950x = 18,520,092 × 18,520,092
  4. Step 4: Simplify right side
    8,464,950x = 342,993,807,688,464
  5. Step 5: Solve for x
    x = 342,993,807,688,464/8,464,950
  6. Step 6: Final answer
    x = 40,519,295.17

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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.