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Finding the Third Proportional to 5,450,834 and 11,466,652

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Solution

The third proportional to 5,450,834 and 11,466,652 is: 24,121,833.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,450,834 : 11,466,652 = 11,466,652 : x
  2. Step 2: Convert to fraction form
    5,450,834/11,466,652 = 11,466,652/x
  3. Step 3: Cross multiply
    5,450,834x = 11,466,652 × 11,466,652
  4. Step 4: Simplify right side
    5,450,834x = 131,484,108,089,104
  5. Step 5: Solve for x
    x = 131,484,108,089,104/5,450,834
  6. Step 6: Final answer
    x = 24,121,833.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.