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Finding the Third Proportional to 4,946,202 and 10,738,397

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Solution

The third proportional to 4,946,202 and 10,738,397 is: 23,313,477.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946,202 : 10,738,397 = 10,738,397 : x
  2. Step 2: Convert to fraction form
    4,946,202/10,738,397 = 10,738,397/x
  3. Step 3: Cross multiply
    4,946,202x = 10,738,397 × 10,738,397
  4. Step 4: Simplify right side
    4,946,202x = 115,313,170,129,609
  5. Step 5: Solve for x
    x = 115,313,170,129,609/4,946,202
  6. Step 6: Final answer
    x = 23,313,477.72

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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.