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Finding the Third Proportional to 4,022,092 and 8,570,376

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Solution

The third proportional to 4,022,092 and 8,570,376 is: 18,261,975.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,022,092 : 8,570,376 = 8,570,376 : x
  2. Step 2: Convert to fraction form
    4,022,092/8,570,376 = 8,570,376/x
  3. Step 3: Cross multiply
    4,022,092x = 8,570,376 × 8,570,376
  4. Step 4: Simplify right side
    4,022,092x = 73,451,344,781,376
  5. Step 5: Solve for x
    x = 73,451,344,781,376/4,022,092
  6. Step 6: Final answer
    x = 18,261,975.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.