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Finding the Third Proportional to 12,546,224 and 19,179,944

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Solution

The third proportional to 12,546,224 and 19,179,944 is: 29,321,192.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546,224 : 19,179,944 = 19,179,944 : x
  2. Step 2: Convert to fraction form
    12,546,224/19,179,944 = 19,179,944/x
  3. Step 3: Cross multiply
    12,546,224x = 19,179,944 × 19,179,944
  4. Step 4: Simplify right side
    12,546,224x = 367,870,251,843,136
  5. Step 5: Solve for x
    x = 367,870,251,843,136/12,546,224
  6. Step 6: Final answer
    x = 29,321,192.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.