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Finding the Third Proportional to 7,716,589 and 16,458,031

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Solution

The third proportional to 7,716,589 and 16,458,031 is: 35,101,880.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716,589 : 16,458,031 = 16,458,031 : x
  2. Step 2: Convert to fraction form
    7,716,589/16,458,031 = 16,458,031/x
  3. Step 3: Cross multiply
    7,716,589x = 16,458,031 × 16,458,031
  4. Step 4: Simplify right side
    7,716,589x = 270,866,784,396,961
  5. Step 5: Solve for x
    x = 270,866,784,396,961/7,716,589
  6. Step 6: Final answer
    x = 35,101,880.43

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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.