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Finding the Third Proportional to 11,651,148 and 17,476,733.25

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Solution

The third proportional to 11,651,148 and 17,476,733.25 is: 26,215,116.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651,148 : 17,476,733.25 = 17,476,733.25 : x
  2. Step 2: Convert to fraction form
    11,651,148/17,476,733.25 = 17,476,733.25/x
  3. Step 3: Cross multiply
    11,651,148x = 17,476,733.25 × 17,476,733.25
  4. Step 4: Simplify right side
    11,651,148x = 305,436,205,091,655.56
  5. Step 5: Solve for x
    x = 305,436,205,091,655.56/11,651,148
  6. Step 6: Final answer
    x = 26,215,116.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.