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Finding the Third Proportional to 5,306,544 and 12,474,288

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Solution

The third proportional to 5,306,544 and 12,474,288 is: 29,323,767.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306,544 : 12,474,288 = 12,474,288 : x
  2. Step 2: Convert to fraction form
    5,306,544/12,474,288 = 12,474,288/x
  3. Step 3: Cross multiply
    5,306,544x = 12,474,288 × 12,474,288
  4. Step 4: Simplify right side
    5,306,544x = 155,607,861,106,944
  5. Step 5: Solve for x
    x = 155,607,861,106,944/5,306,544
  6. Step 6: Final answer
    x = 29,323,767.24

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.