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Finding the Third Proportional to 5,301,096 and 11,540,736

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Solution

The third proportional to 5,301,096 and 11,540,736 is: 25,124,726.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301,096 : 11,540,736 = 11,540,736 : x
  2. Step 2: Convert to fraction form
    5,301,096/11,540,736 = 11,540,736/x
  3. Step 3: Cross multiply
    5,301,096x = 11,540,736 × 11,540,736
  4. Step 4: Simplify right side
    5,301,096x = 133,188,587,421,696
  5. Step 5: Solve for x
    x = 133,188,587,421,696/5,301,096
  6. Step 6: Final answer
    x = 25,124,726.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.