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Finding the Third Proportional to 11,370,016.13 and 17,494,174.13

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Solution

The third proportional to 11,370,016.13 and 17,494,174.13 is: 26,916,947.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,370,016.13 : 17,494,174.13 = 17,494,174.13 : x
  2. Step 2: Convert to fraction form
    11,370,016.13/17,494,174.13 = 17,494,174.13/x
  3. Step 3: Cross multiply
    11,370,016.13x = 17,494,174.13 × 17,494,174.13
  4. Step 4: Simplify right side
    11,370,016.13x = 306,046,128,315,819.50
  5. Step 5: Solve for x
    x = 306,046,128,315,819.50/11,370,016.13
  6. Step 6: Final answer
    x = 26,916,947.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.