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Finding the Third Proportional to 5,234,954 and 11,310,435

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Solution

The third proportional to 5,234,954 and 11,310,435 is: 24,436,879.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234,954 : 11,310,435 = 11,310,435 : x
  2. Step 2: Convert to fraction form
    5,234,954/11,310,435 = 11,310,435/x
  3. Step 3: Cross multiply
    5,234,954x = 11,310,435 × 11,310,435
  4. Step 4: Simplify right side
    5,234,954x = 127,925,939,889,225
  5. Step 5: Solve for x
    x = 127,925,939,889,225/5,234,954
  6. Step 6: Final answer
    x = 24,436,879.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.