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Finding the Third Proportional to 2,959,047.75 and 6,367,523.25

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Solution

The third proportional to 2,959,047.75 and 6,367,523.25 is: 13,702,162.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959,047.75 : 6,367,523.25 = 6,367,523.25 : x
  2. Step 2: Convert to fraction form
    2,959,047.75/6,367,523.25 = 6,367,523.25/x
  3. Step 3: Cross multiply
    2,959,047.75x = 6,367,523.25 × 6,367,523.25
  4. Step 4: Simplify right side
    2,959,047.75x = 40,545,352,339,290.56
  5. Step 5: Solve for x
    x = 40,545,352,339,290.56/2,959,047.75
  6. Step 6: Final answer
    x = 13,702,162.24

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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.