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Finding the Third Proportional to 10,967,624 and 17,514,156

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Solution

The third proportional to 10,967,624 and 17,514,156 is: 27,968,287.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967,624 : 17,514,156 = 17,514,156 : x
  2. Step 2: Convert to fraction form
    10,967,624/17,514,156 = 17,514,156/x
  3. Step 3: Cross multiply
    10,967,624x = 17,514,156 × 17,514,156
  4. Step 4: Simplify right side
    10,967,624x = 306,745,660,392,336
  5. Step 5: Solve for x
    x = 306,745,660,392,336/10,967,624
  6. Step 6: Final answer
    x = 27,968,287.42

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.