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Finding the Third Proportional to 9,223,544 and 13,864,848

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Solution

The third proportional to 9,223,544 and 13,864,848 is: 20,841,664.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223,544 : 13,864,848 = 13,864,848 : x
  2. Step 2: Convert to fraction form
    9,223,544/13,864,848 = 13,864,848/x
  3. Step 3: Cross multiply
    9,223,544x = 13,864,848 × 13,864,848
  4. Step 4: Simplify right side
    9,223,544x = 192,234,010,063,104
  5. Step 5: Solve for x
    x = 192,234,010,063,104/9,223,544
  6. Step 6: Final answer
    x = 20,841,664.56

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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.