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Finding the Third Proportional to 8,228,064 and 12,334,224

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Solution

The third proportional to 8,228,064 and 12,334,224 is: 18,489,535.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228,064 : 12,334,224 = 12,334,224 : x
  2. Step 2: Convert to fraction form
    8,228,064/12,334,224 = 12,334,224/x
  3. Step 3: Cross multiply
    8,228,064x = 12,334,224 × 12,334,224
  4. Step 4: Simplify right side
    8,228,064x = 152,133,081,682,176
  5. Step 5: Solve for x
    x = 152,133,081,682,176/8,228,064
  6. Step 6: Final answer
    x = 18,489,535.53

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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.