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Finding the Third Proportional to 3,596,600,208,511 and 7,766,436,114,420

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Solution

The third proportional to 3,596,600,208,511 and 7,766,436,114,420 is: 16,770,707,452,174.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596,600,208,511 : 7,766,436,114,420 = 7,766,436,114,420 : x
  2. Step 2: Convert to fraction form
    3,596,600,208,511/7,766,436,114,420 = 7,766,436,114,420/x
  3. Step 3: Cross multiply
    3,596,600,208,511x = 7,766,436,114,420 × 7,766,436,114,420
  4. Step 4: Simplify right side
    3,596,600,208,511x = 60,317,529,919,367,224,764,661,760
  5. Step 5: Solve for x
    x = 60,317,529,919,367,224,764,661,760/3,596,600,208,511
  6. Step 6: Final answer
    x = 16,770,707,452,174.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.