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Finding the Third Proportional to 7,674,000 and 16,577,568

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Solution

The third proportional to 7,674,000 and 16,577,568 is: 35,811,279.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674,000 : 16,577,568 = 16,577,568 : x
  2. Step 2: Convert to fraction form
    7,674,000/16,577,568 = 16,577,568/x
  3. Step 3: Cross multiply
    7,674,000x = 16,577,568 × 16,577,568
  4. Step 4: Simplify right side
    7,674,000x = 274,815,760,794,624
  5. Step 5: Solve for x
    x = 274,815,760,794,624/7,674,000
  6. Step 6: Final answer
    x = 35,811,279.75

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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.