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Finding the Third Proportional to 5,263,570 and 11,517,728

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Solution

The third proportional to 5,263,570 and 11,517,728 is: 25,203,057.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263,570 : 11,517,728 = 11,517,728 : x
  2. Step 2: Convert to fraction form
    5,263,570/11,517,728 = 11,517,728/x
  3. Step 3: Cross multiply
    5,263,570x = 11,517,728 × 11,517,728
  4. Step 4: Simplify right side
    5,263,570x = 132,658,058,281,984
  5. Step 5: Solve for x
    x = 132,658,058,281,984/5,263,570
  6. Step 6: Final answer
    x = 25,203,057.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.