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Finding the Third Proportional to 8,239,494 and 12,064,281

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Solution

The third proportional to 8,239,494 and 12,064,281 is: 17,664,540.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239,494 : 12,064,281 = 12,064,281 : x
  2. Step 2: Convert to fraction form
    8,239,494/12,064,281 = 12,064,281/x
  3. Step 3: Cross multiply
    8,239,494x = 12,064,281 × 12,064,281
  4. Step 4: Simplify right side
    8,239,494x = 145,546,876,046,961
  5. Step 5: Solve for x
    x = 145,546,876,046,961/8,239,494
  6. Step 6: Final answer
    x = 17,664,540.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.