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Finding the Third Proportional to 7,923,774 and 11,904,582

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Solution

The third proportional to 7,923,774 and 11,904,582 is: 17,885,299.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,923,774 : 11,904,582 = 11,904,582 : x
  2. Step 2: Convert to fraction form
    7,923,774/11,904,582 = 11,904,582/x
  3. Step 3: Cross multiply
    7,923,774x = 11,904,582 × 11,904,582
  4. Step 4: Simplify right side
    7,923,774x = 141,719,072,594,724
  5. Step 5: Solve for x
    x = 141,719,072,594,724/7,923,774
  6. Step 6: Final answer
    x = 17,885,299.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.