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Finding the Third Proportional to 606,273,731,212 and 1,304,500,068,956

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Solution

The third proportional to 606,273,731,212 and 1,304,500,068,956 is: 2,806,851,661,714.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,273,731,212 : 1,304,500,068,956 = 1,304,500,068,956 : x
  2. Step 2: Convert to fraction form
    606,273,731,212/1,304,500,068,956 = 1,304,500,068,956/x
  3. Step 3: Cross multiply
    606,273,731,212x = 1,304,500,068,956 × 1,304,500,068,956
  4. Step 4: Simplify right side
    606,273,731,212x = 1,701,720,429,906,208,722,255,872
  5. Step 5: Solve for x
    x = 1,701,720,429,906,208,722,255,872/606,273,731,212
  6. Step 6: Final answer
    x = 2,806,851,661,714.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.