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Finding the Third Proportional to 7,467,622 and 11,533,072

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Solution

The third proportional to 7,467,622 and 11,533,072 is: 17,811,794.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467,622 : 11,533,072 = 11,533,072 : x
  2. Step 2: Convert to fraction form
    7,467,622/11,533,072 = 11,533,072/x
  3. Step 3: Cross multiply
    7,467,622x = 11,533,072 × 11,533,072
  4. Step 4: Simplify right side
    7,467,622x = 133,011,749,757,184
  5. Step 5: Solve for x
    x = 133,011,749,757,184/7,467,622
  6. Step 6: Final answer
    x = 17,811,794.67

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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.