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Finding the Third Proportional to 6,398,853 and 9,054,180.75

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Solution

The third proportional to 6,398,853 and 9,054,180.75 is: 12,811,388.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398,853 : 9,054,180.75 = 9,054,180.75 : x
  2. Step 2: Convert to fraction form
    6,398,853/9,054,180.75 = 9,054,180.75/x
  3. Step 3: Cross multiply
    6,398,853x = 9,054,180.75 × 9,054,180.75
  4. Step 4: Simplify right side
    6,398,853x = 81,978,189,053,670.56
  5. Step 5: Solve for x
    x = 81,978,189,053,670.56/6,398,853
  6. Step 6: Final answer
    x = 12,811,388.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.