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Finding the Third Proportional to 7,579,224 and 11,649,932

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Solution

The third proportional to 7,579,224 and 11,649,932 is: 17,906,967.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,579,224 : 11,649,932 = 11,649,932 : x
  2. Step 2: Convert to fraction form
    7,579,224/11,649,932 = 11,649,932/x
  3. Step 3: Cross multiply
    7,579,224x = 11,649,932 × 11,649,932
  4. Step 4: Simplify right side
    7,579,224x = 135,720,915,604,624
  5. Step 5: Solve for x
    x = 135,720,915,604,624/7,579,224
  6. Step 6: Final answer
    x = 17,906,967.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.