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Finding the Third Proportional to 11,399,163 and 17,041,848

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Solution

The third proportional to 11,399,163 and 17,041,848 is: 25,477,711.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,399,163 : 17,041,848 = 17,041,848 : x
  2. Step 2: Convert to fraction form
    11,399,163/17,041,848 = 17,041,848/x
  3. Step 3: Cross multiply
    11,399,163x = 17,041,848 × 17,041,848
  4. Step 4: Simplify right side
    11,399,163x = 290,424,583,255,104
  5. Step 5: Solve for x
    x = 290,424,583,255,104/11,399,163
  6. Step 6: Final answer
    x = 25,477,711.24

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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.