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Finding the Third Proportional to 7,467,626 and 11,533,080

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Solution

The third proportional to 7,467,626 and 11,533,080 is: 17,811,809.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467,626 : 11,533,080 = 11,533,080 : x
  2. Step 2: Convert to fraction form
    7,467,626/11,533,080 = 11,533,080/x
  3. Step 3: Cross multiply
    7,467,626x = 11,533,080 × 11,533,080
  4. Step 4: Simplify right side
    7,467,626x = 133,011,934,286,400
  5. Step 5: Solve for x
    x = 133,011,934,286,400/7,467,626
  6. Step 6: Final answer
    x = 17,811,809.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.