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Finding the Third Proportional to 11,579,862 and 24,749,997

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Solution

The third proportional to 11,579,862 and 24,749,997 is: 52,898,933.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,579,862 : 24,749,997 = 24,749,997 : x
  2. Step 2: Convert to fraction form
    11,579,862/24,749,997 = 24,749,997/x
  3. Step 3: Cross multiply
    11,579,862x = 24,749,997 × 24,749,997
  4. Step 4: Simplify right side
    11,579,862x = 612,562,351,500,009
  5. Step 5: Solve for x
    x = 612,562,351,500,009/11,579,862
  6. Step 6: Final answer
    x = 52,898,933.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.