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Finding the Third Proportional to 284,095,624,992 and 618,203,524,290

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Solution

The third proportional to 284,095,624,992 and 618,203,524,290 is: 1,345,235,772,128.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,095,624,992 : 618,203,524,290 = 618,203,524,290 : x
  2. Step 2: Convert to fraction form
    284,095,624,992/618,203,524,290 = 618,203,524,290/x
  3. Step 3: Cross multiply
    284,095,624,992x = 618,203,524,290 × 618,203,524,290
  4. Step 4: Simplify right side
    284,095,624,992x = 382,175,597,444,576,644,694,016
  5. Step 5: Solve for x
    x = 382,175,597,444,576,644,694,016/284,095,624,992
  6. Step 6: Final answer
    x = 1,345,235,772,128.97

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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.