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Finding the Third Proportional to 8,043,832 and 10,328,064

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Solution

The third proportional to 8,043,832 and 10,328,064 is: 13,260,956.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,043,832 : 10,328,064 = 10,328,064 : x
  2. Step 2: Convert to fraction form
    8,043,832/10,328,064 = 10,328,064/x
  3. Step 3: Cross multiply
    8,043,832x = 10,328,064 × 10,328,064
  4. Step 4: Simplify right side
    8,043,832x = 106,668,905,988,096
  5. Step 5: Solve for x
    x = 106,668,905,988,096/8,043,832
  6. Step 6: Final answer
    x = 13,260,956.47

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.