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Finding the Third Proportional to 5,466,646,093 and 8,164,146,625

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Solution

The third proportional to 5,466,646,093 and 8,164,146,625 is: 12,192,720,907.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466,646,093 : 8,164,146,625 = 8,164,146,625 : x
  2. Step 2: Convert to fraction form
    5,466,646,093/8,164,146,625 = 8,164,146,625/x
  3. Step 3: Cross multiply
    5,466,646,093x = 8,164,146,625 × 8,164,146,625
  4. Step 4: Simplify right side
    5,466,646,093x = 66,653,290,114,498,887,680
  5. Step 5: Solve for x
    x = 66,653,290,114,498,887,680/5,466,646,093
  6. Step 6: Final answer
    x = 12,192,720,907.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.