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Finding the Third Proportional to 5,394,715 and 11,558,911.50

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Solution

The third proportional to 5,394,715 and 11,558,911.50 is: 24,766,541.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,394,715 : 11,558,911.50 = 11,558,911.50 : x
  2. Step 2: Convert to fraction form
    5,394,715/11,558,911.50 = 11,558,911.50/x
  3. Step 3: Cross multiply
    5,394,715x = 11,558,911.50 × 11,558,911.50
  4. Step 4: Simplify right side
    5,394,715x = 133,608,435,064,832.25
  5. Step 5: Solve for x
    x = 133,608,435,064,832.25/5,394,715
  6. Step 6: Final answer
    x = 24,766,541.90

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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.