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Finding the Third Proportional to 13,505,904 and 20,221,899

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Solution

The third proportional to 13,505,904 and 20,221,899 is: 30,277,514.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,505,904 : 20,221,899 = 20,221,899 : x
  2. Step 2: Convert to fraction form
    13,505,904/20,221,899 = 20,221,899/x
  3. Step 3: Cross multiply
    13,505,904x = 20,221,899 × 20,221,899
  4. Step 4: Simplify right side
    13,505,904x = 408,925,199,166,201
  5. Step 5: Solve for x
    x = 408,925,199,166,201/13,505,904
  6. Step 6: Final answer
    x = 30,277,514.13

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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.