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Finding the Third Proportional to 6,458,626 and 15,224,785

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Solution

The third proportional to 6,458,626 and 15,224,785 is: 35,889,069.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458,626 : 15,224,785 = 15,224,785 : x
  2. Step 2: Convert to fraction form
    6,458,626/15,224,785 = 15,224,785/x
  3. Step 3: Cross multiply
    6,458,626x = 15,224,785 × 15,224,785
  4. Step 4: Simplify right side
    6,458,626x = 231,794,078,296,225
  5. Step 5: Solve for x
    x = 231,794,078,296,225/6,458,626
  6. Step 6: Final answer
    x = 35,889,069.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.