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Finding the Third Proportional to 5,305,792 and 11,458,756

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Solution

The third proportional to 5,305,792 and 11,458,756 is: 24,747,123.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305,792 : 11,458,756 = 11,458,756 : x
  2. Step 2: Convert to fraction form
    5,305,792/11,458,756 = 11,458,756/x
  3. Step 3: Cross multiply
    5,305,792x = 11,458,756 × 11,458,756
  4. Step 4: Simplify right side
    5,305,792x = 131,303,089,067,536
  5. Step 5: Solve for x
    x = 131,303,089,067,536/5,305,792
  6. Step 6: Final answer
    x = 24,747,123.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.