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Finding the Third Proportional to 4,622,563.69 and 7,185,616.31

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Solution

The third proportional to 4,622,563.69 and 7,185,616.31 is: 11,169,793.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622,563.69 : 7,185,616.31 = 7,185,616.31 : x
  2. Step 2: Convert to fraction form
    4,622,563.69/7,185,616.31 = 7,185,616.31/x
  3. Step 3: Cross multiply
    4,622,563.69x = 7,185,616.31 × 7,185,616.31
  4. Step 4: Simplify right side
    4,622,563.69x = 51,633,081,790,466.09
  5. Step 5: Solve for x
    x = 51,633,081,790,466.09/4,622,563.69
  6. Step 6: Final answer
    x = 11,169,793.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.