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Finding the Third Proportional to 7,474,590 and 11,543,136

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Solution

The third proportional to 7,474,590 and 11,543,136 is: 17,826,260.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474,590 : 11,543,136 = 11,543,136 : x
  2. Step 2: Convert to fraction form
    7,474,590/11,543,136 = 11,543,136/x
  3. Step 3: Cross multiply
    7,474,590x = 11,543,136 × 11,543,136
  4. Step 4: Simplify right side
    7,474,590x = 133,243,988,714,496
  5. Step 5: Solve for x
    x = 133,243,988,714,496/7,474,590
  6. Step 6: Final answer
    x = 17,826,260.53

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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.