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Finding the Third Proportional to 7,327,008 and 11,208,096

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Solution

The third proportional to 7,327,008 and 11,208,096 is: 17,144,981.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,327,008 : 11,208,096 = 11,208,096 : x
  2. Step 2: Convert to fraction form
    7,327,008/11,208,096 = 11,208,096/x
  3. Step 3: Cross multiply
    7,327,008x = 11,208,096 × 11,208,096
  4. Step 4: Simplify right side
    7,327,008x = 125,621,415,945,216
  5. Step 5: Solve for x
    x = 125,621,415,945,216/7,327,008
  6. Step 6: Final answer
    x = 17,144,981.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.