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Finding the Third Proportional to 10,967,622 and 17,514,153

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Solution

The third proportional to 10,967,622 and 17,514,153 is: 27,968,282.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967,622 : 17,514,153 = 17,514,153 : x
  2. Step 2: Convert to fraction form
    10,967,622/17,514,153 = 17,514,153/x
  3. Step 3: Cross multiply
    10,967,622x = 17,514,153 × 17,514,153
  4. Step 4: Simplify right side
    10,967,622x = 306,745,555,307,409
  5. Step 5: Solve for x
    x = 306,745,555,307,409/10,967,622
  6. Step 6: Final answer
    x = 27,968,282.94

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Why These Related Problems?

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