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Finding the Third Proportional to 3,865,218 and 8,198,148

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Solution

The third proportional to 3,865,218 and 8,198,148 is: 17,388,315.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865,218 : 8,198,148 = 8,198,148 : x
  2. Step 2: Convert to fraction form
    3,865,218/8,198,148 = 8,198,148/x
  3. Step 3: Cross multiply
    3,865,218x = 8,198,148 × 8,198,148
  4. Step 4: Simplify right side
    3,865,218x = 67,209,630,629,904
  5. Step 5: Solve for x
    x = 67,209,630,629,904/3,865,218
  6. Step 6: Final answer
    x = 17,388,315.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.