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Finding the Third Proportional to 11,442,174.75 and 17,269,668.28

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Solution

The third proportional to 11,442,174.75 and 17,269,668.28 is: 26,065,101.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442,174.75 : 17,269,668.28 = 17,269,668.28 : x
  2. Step 2: Convert to fraction form
    11,442,174.75/17,269,668.28 = 17,269,668.28/x
  3. Step 3: Cross multiply
    11,442,174.75x = 17,269,668.28 × 17,269,668.28
  4. Step 4: Simplify right side
    11,442,174.75x = 298,241,442,544,412.31
  5. Step 5: Solve for x
    x = 298,241,442,544,412.31/11,442,174.75
  6. Step 6: Final answer
    x = 26,065,101.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.