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Finding the Third Proportional to 606,273,731,168 and 1,304,500,068,876

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Solution

The third proportional to 606,273,731,168 and 1,304,500,068,876 is: 2,806,851,661,573.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,273,731,168 : 1,304,500,068,876 = 1,304,500,068,876 : x
  2. Step 2: Convert to fraction form
    606,273,731,168/1,304,500,068,876 = 1,304,500,068,876/x
  3. Step 3: Cross multiply
    606,273,731,168x = 1,304,500,068,876 × 1,304,500,068,876
  4. Step 4: Simplify right side
    606,273,731,168x = 1,701,720,429,697,488,612,491,264
  5. Step 5: Solve for x
    x = 1,701,720,429,697,488,612,491,264/606,273,731,168
  6. Step 6: Final answer
    x = 2,806,851,661,573.87

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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.