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Finding the Third Proportional to 11,457,424 and 16,061,016

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Solution

The third proportional to 11,457,424 and 16,061,016 is: 22,514,330.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457,424 : 16,061,016 = 16,061,016 : x
  2. Step 2: Convert to fraction form
    11,457,424/16,061,016 = 16,061,016/x
  3. Step 3: Cross multiply
    11,457,424x = 16,061,016 × 16,061,016
  4. Step 4: Simplify right side
    11,457,424x = 257,956,234,952,256
  5. Step 5: Solve for x
    x = 257,956,234,952,256/11,457,424
  6. Step 6: Final answer
    x = 22,514,330.88

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.