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Finding the Third Proportional to 4,946,216 and 10,738,422

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Solution

The third proportional to 4,946,216 and 10,738,422 is: 23,313,520.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946,216 : 10,738,422 = 10,738,422 : x
  2. Step 2: Convert to fraction form
    4,946,216/10,738,422 = 10,738,422/x
  3. Step 3: Cross multiply
    4,946,216x = 10,738,422 × 10,738,422
  4. Step 4: Simplify right side
    4,946,216x = 115,313,707,050,084
  5. Step 5: Solve for x
    x = 115,313,707,050,084/4,946,216
  6. Step 6: Final answer
    x = 23,313,520.29

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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.