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Finding the Third Proportional to 12,462,741 and 25,916,193

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Solution

The third proportional to 12,462,741 and 25,916,193 is: 53,892,563.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462,741 : 25,916,193 = 25,916,193 : x
  2. Step 2: Convert to fraction form
    12,462,741/25,916,193 = 25,916,193/x
  3. Step 3: Cross multiply
    12,462,741x = 25,916,193 × 25,916,193
  4. Step 4: Simplify right side
    12,462,741x = 671,649,059,613,249
  5. Step 5: Solve for x
    x = 671,649,059,613,249/12,462,741
  6. Step 6: Final answer
    x = 53,892,563.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.