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Finding the Third Proportional to 5,082,976.13 and 7,743,606.75

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Solution

The third proportional to 5,082,976.13 and 7,743,606.75 is: 11,796,916.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082,976.13 : 7,743,606.75 = 7,743,606.75 : x
  2. Step 2: Convert to fraction form
    5,082,976.13/7,743,606.75 = 7,743,606.75/x
  3. Step 3: Cross multiply
    5,082,976.13x = 7,743,606.75 × 7,743,606.75
  4. Step 4: Simplify right side
    5,082,976.13x = 59,963,445,498,645.56
  5. Step 5: Solve for x
    x = 59,963,445,498,645.56/5,082,976.13
  6. Step 6: Final answer
    x = 11,796,916.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.