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Finding the Third Proportional to 4,946,078 and 10,763,122

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Solution

The third proportional to 4,946,078 and 10,763,122 is: 23,421,546.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946,078 : 10,763,122 = 10,763,122 : x
  2. Step 2: Convert to fraction form
    4,946,078/10,763,122 = 10,763,122/x
  3. Step 3: Cross multiply
    4,946,078x = 10,763,122 × 10,763,122
  4. Step 4: Simplify right side
    4,946,078x = 115,844,795,186,884
  5. Step 5: Solve for x
    x = 115,844,795,186,884/4,946,078
  6. Step 6: Final answer
    x = 23,421,546.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.