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Finding the Third Proportional to 8,369,832 and 11,846,564

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Solution

The third proportional to 8,369,832 and 11,846,564 is: 16,767,490.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369,832 : 11,846,564 = 11,846,564 : x
  2. Step 2: Convert to fraction form
    8,369,832/11,846,564 = 11,846,564/x
  3. Step 3: Cross multiply
    8,369,832x = 11,846,564 × 11,846,564
  4. Step 4: Simplify right side
    8,369,832x = 140,341,078,606,096
  5. Step 5: Solve for x
    x = 140,341,078,606,096/8,369,832
  6. Step 6: Final answer
    x = 16,767,490.51

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.