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Finding the Third Proportional to 5,394,709.13 and 11,558,899.69

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Solution

The third proportional to 5,394,709.13 and 11,558,899.69 is: 24,766,518.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,394,709.13 : 11,558,899.69 = 11,558,899.69 : x
  2. Step 2: Convert to fraction form
    5,394,709.13/11,558,899.69 = 11,558,899.69/x
  3. Step 3: Cross multiply
    5,394,709.13x = 11,558,899.69 × 11,558,899.69
  4. Step 4: Simplify right side
    5,394,709.13x = 133,608,161,985,687.59
  5. Step 5: Solve for x
    x = 133,608,161,985,687.59/5,394,709.13
  6. Step 6: Final answer
    x = 24,766,518.25

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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.