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Finding the Third Proportional to 11,214,976 and 16,803,736

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Solution

The third proportional to 11,214,976 and 16,803,736 is: 25,177,543.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214,976 : 16,803,736 = 16,803,736 : x
  2. Step 2: Convert to fraction form
    11,214,976/16,803,736 = 16,803,736/x
  3. Step 3: Cross multiply
    11,214,976x = 16,803,736 × 16,803,736
  4. Step 4: Simplify right side
    11,214,976x = 282,365,543,557,696
  5. Step 5: Solve for x
    x = 282,365,543,557,696/11,214,976
  6. Step 6: Final answer
    x = 25,177,543.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.