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Finding the Third Proportional to 11,306,802 and 24,766,827

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Solution

The third proportional to 11,306,802 and 24,766,827 is: 54,250,151.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306,802 : 24,766,827 = 24,766,827 : x
  2. Step 2: Convert to fraction form
    11,306,802/24,766,827 = 24,766,827/x
  3. Step 3: Cross multiply
    11,306,802x = 24,766,827 × 24,766,827
  4. Step 4: Simplify right side
    11,306,802x = 613,395,719,647,929
  5. Step 5: Solve for x
    x = 613,395,719,647,929/11,306,802
  6. Step 6: Final answer
    x = 54,250,151.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.