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Finding the Third Proportional to 24,781,997 and 53,682,729

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Solution

The third proportional to 24,781,997 and 53,682,729 is: 116,287,456.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,781,997 : 53,682,729 = 53,682,729 : x
  2. Step 2: Convert to fraction form
    24,781,997/53,682,729 = 53,682,729/x
  3. Step 3: Cross multiply
    24,781,997x = 53,682,729 × 53,682,729
  4. Step 4: Simplify right side
    24,781,997x = 2,881,835,392,887,441
  5. Step 5: Solve for x
    x = 2,881,835,392,887,441/24,781,997
  6. Step 6: Final answer
    x = 116,287,456.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.