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Finding the Third Proportional to 4,946,211 and 10,738,413

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Solution

The third proportional to 4,946,211 and 10,738,413 is: 23,313,504.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946,211 : 10,738,413 = 10,738,413 : x
  2. Step 2: Convert to fraction form
    4,946,211/10,738,413 = 10,738,413/x
  3. Step 3: Cross multiply
    4,946,211x = 10,738,413 × 10,738,413
  4. Step 4: Simplify right side
    4,946,211x = 115,313,513,758,569
  5. Step 5: Solve for x
    x = 115,313,513,758,569/4,946,211
  6. Step 6: Final answer
    x = 23,313,504.77

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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.