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Finding the Third Proportional to 7,474,560 and 11,543,088

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Solution

The third proportional to 7,474,560 and 11,543,088 is: 17,826,183.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474,560 : 11,543,088 = 11,543,088 : x
  2. Step 2: Convert to fraction form
    7,474,560/11,543,088 = 11,543,088/x
  3. Step 3: Cross multiply
    7,474,560x = 11,543,088 × 11,543,088
  4. Step 4: Simplify right side
    7,474,560x = 133,242,880,575,744
  5. Step 5: Solve for x
    x = 133,242,880,575,744/7,474,560
  6. Step 6: Final answer
    x = 17,826,183.83

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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.