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Finding the Third Proportional to 3,596,600,208,505.10 and 7,766,436,114,408.30

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Solution

The third proportional to 3,596,600,208,505.10 and 7,766,436,114,408.30 is: 16,770,707,452,151.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596,600,208,505.10 : 7,766,436,114,408.30 = 7,766,436,114,408.30 : x
  2. Step 2: Convert to fraction form
    3,596,600,208,505.10/7,766,436,114,408.30 = 7,766,436,114,408.30/x
  3. Step 3: Cross multiply
    3,596,600,208,505.10x = 7,766,436,114,408.30 × 7,766,436,114,408.30
  4. Step 4: Simplify right side
    3,596,600,208,505.10x = 60,317,529,919,185,487,518,498,816
  5. Step 5: Solve for x
    x = 60,317,529,919,185,487,518,498,816/3,596,600,208,505.10
  6. Step 6: Final answer
    x = 16,770,707,452,151.32

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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.