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Finding the Third Proportional to 4,568,568.75 and 9,753,642

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Solution

The third proportional to 4,568,568.75 and 9,753,642 is: 20,823,487.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568,568.75 : 9,753,642 = 9,753,642 : x
  2. Step 2: Convert to fraction form
    4,568,568.75/9,753,642 = 9,753,642/x
  3. Step 3: Cross multiply
    4,568,568.75x = 9,753,642 × 9,753,642
  4. Step 4: Simplify right side
    4,568,568.75x = 95,133,532,264,164
  5. Step 5: Solve for x
    x = 95,133,532,264,164/4,568,568.75
  6. Step 6: Final answer
    x = 20,823,487.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.