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Finding the Third Proportional to 1,368,647,612,855 and 2,849,929,207,592

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Solution

The third proportional to 1,368,647,612,855 and 2,849,929,207,592 is: 5,934,395,685,199.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368,647,612,855 : 2,849,929,207,592 = 2,849,929,207,592 : x
  2. Step 2: Convert to fraction form
    1,368,647,612,855/2,849,929,207,592 = 2,849,929,207,592/x
  3. Step 3: Cross multiply
    1,368,647,612,855x = 2,849,929,207,592 × 2,849,929,207,592
  4. Step 4: Simplify right side
    1,368,647,612,855x = 8,122,096,488,285,965,362,659,328
  5. Step 5: Solve for x
    x = 8,122,096,488,285,965,362,659,328/1,368,647,612,855
  6. Step 6: Final answer
    x = 5,934,395,685,199.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.