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Finding the Third Proportional to 7,474,572 and 11,543,107

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Solution

The third proportional to 7,474,572 and 11,543,107 is: 17,826,213.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474,572 : 11,543,107 = 11,543,107 : x
  2. Step 2: Convert to fraction form
    7,474,572/11,543,107 = 11,543,107/x
  3. Step 3: Cross multiply
    7,474,572x = 11,543,107 × 11,543,107
  4. Step 4: Simplify right side
    7,474,572x = 133,243,319,213,449
  5. Step 5: Solve for x
    x = 133,243,319,213,449/7,474,572
  6. Step 6: Final answer
    x = 17,826,213.89

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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.