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Finding the Third Proportional to 9,348,238 and 13,984,992

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Solution

The third proportional to 9,348,238 and 13,984,992 is: 20,921,589.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348,238 : 13,984,992 = 13,984,992 : x
  2. Step 2: Convert to fraction form
    9,348,238/13,984,992 = 13,984,992/x
  3. Step 3: Cross multiply
    9,348,238x = 13,984,992 × 13,984,992
  4. Step 4: Simplify right side
    9,348,238x = 195,580,001,240,064
  5. Step 5: Solve for x
    x = 195,580,001,240,064/9,348,238
  6. Step 6: Final answer
    x = 20,921,589.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.