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Finding the Third Proportional to 281,766,476 and 613,554,824

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Solution

The third proportional to 281,766,476 and 613,554,824 is: 1,336,033,751.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,766,476 : 613,554,824 = 613,554,824 : x
  2. Step 2: Convert to fraction form
    281,766,476/613,554,824 = 613,554,824/x
  3. Step 3: Cross multiply
    281,766,476x = 613,554,824 × 613,554,824
  4. Step 4: Simplify right side
    281,766,476x = 376,449,522,053,670,976
  5. Step 5: Solve for x
    x = 376,449,522,053,670,976/281,766,476
  6. Step 6: Final answer
    x = 1,336,033,751.77

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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.