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Finding the Third Proportional to 11,058,709.50 and 17,310,325.50

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Solution

The third proportional to 11,058,709.50 and 17,310,325.50 is: 27,096,052.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,058,709.50 : 17,310,325.50 = 17,310,325.50 : x
  2. Step 2: Convert to fraction form
    11,058,709.50/17,310,325.50 = 17,310,325.50/x
  3. Step 3: Cross multiply
    11,058,709.50x = 17,310,325.50 × 17,310,325.50
  4. Step 4: Simplify right side
    11,058,709.50x = 299,647,368,915,950.25
  5. Step 5: Solve for x
    x = 299,647,368,915,950.25/11,058,709.50
  6. Step 6: Final answer
    x = 27,096,052.11

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Why These Related Problems?

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