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Finding the Third Proportional to 11,736,012 and 25,207,408.50

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Solution

The third proportional to 11,736,012 and 25,207,408.50 is: 54,142,194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,736,012 : 25,207,408.50 = 25,207,408.50 : x
  2. Step 2: Convert to fraction form
    11,736,012/25,207,408.50 = 25,207,408.50/x
  3. Step 3: Cross multiply
    11,736,012x = 25,207,408.50 × 25,207,408.50
  4. Step 4: Simplify right side
    11,736,012x = 635,413,443,285,872.25
  5. Step 5: Solve for x
    x = 635,413,443,285,872.25/11,736,012
  6. Step 6: Final answer
    x = 54,142,194.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.