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Finding the Third Proportional to 4,946,201 and 10,738,396

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Solution

The third proportional to 4,946,201 and 10,738,396 is: 23,313,478.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946,201 : 10,738,396 = 10,738,396 : x
  2. Step 2: Convert to fraction form
    4,946,201/10,738,396 = 10,738,396/x
  3. Step 3: Cross multiply
    4,946,201x = 10,738,396 × 10,738,396
  4. Step 4: Simplify right side
    4,946,201x = 115,313,148,652,816
  5. Step 5: Solve for x
    x = 115,313,148,652,816/4,946,201
  6. Step 6: Final answer
    x = 23,313,478.09

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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.