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Finding the Third Proportional to 4,946,199 and 10,738,391.25

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Solution

The third proportional to 4,946,199 and 10,738,391.25 is: 23,313,466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946,199 : 10,738,391.25 = 10,738,391.25 : x
  2. Step 2: Convert to fraction form
    4,946,199/10,738,391.25 = 10,738,391.25/x
  3. Step 3: Cross multiply
    4,946,199x = 10,738,391.25 × 10,738,391.25
  4. Step 4: Simplify right side
    4,946,199x = 115,313,046,638,076.56
  5. Step 5: Solve for x
    x = 115,313,046,638,076.56/4,946,199
  6. Step 6: Final answer
    x = 23,313,466.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.