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Finding the Third Proportional to 6,340,416.75 and 13,693,596.75

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Solution

The third proportional to 6,340,416.75 and 13,693,596.75 is: 29,574,490.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340,416.75 : 13,693,596.75 = 13,693,596.75 : x
  2. Step 2: Convert to fraction form
    6,340,416.75/13,693,596.75 = 13,693,596.75/x
  3. Step 3: Cross multiply
    6,340,416.75x = 13,693,596.75 × 13,693,596.75
  4. Step 4: Simplify right side
    6,340,416.75x = 187,514,591,951,610.56
  5. Step 5: Solve for x
    x = 187,514,591,951,610.56/6,340,416.75
  6. Step 6: Final answer
    x = 29,574,490.03

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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.