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Finding the Third Proportional to 11,214,540 and 17,569,314

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Solution

The third proportional to 11,214,540 and 17,569,314 is: 27,525,051.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214,540 : 17,569,314 = 17,569,314 : x
  2. Step 2: Convert to fraction form
    11,214,540/17,569,314 = 17,569,314/x
  3. Step 3: Cross multiply
    11,214,540x = 17,569,314 × 17,569,314
  4. Step 4: Simplify right side
    11,214,540x = 308,680,794,430,596
  5. Step 5: Solve for x
    x = 308,680,794,430,596/11,214,540
  6. Step 6: Final answer
    x = 27,525,051.80

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.