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Finding the Third Proportional to 11,221,200 and 24,236,008

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Solution

The third proportional to 11,221,200 and 24,236,008 is: 52,345,924.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,221,200 : 24,236,008 = 24,236,008 : x
  2. Step 2: Convert to fraction form
    11,221,200/24,236,008 = 24,236,008/x
  3. Step 3: Cross multiply
    11,221,200x = 24,236,008 × 24,236,008
  4. Step 4: Simplify right side
    11,221,200x = 587,384,083,776,064
  5. Step 5: Solve for x
    x = 587,384,083,776,064/11,221,200
  6. Step 6: Final answer
    x = 52,345,924.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.