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Finding the Third Proportional to 11,235,055,296 and 16,526,804,830.50

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Solution

The third proportional to 11,235,055,296 and 16,526,804,830.50 is: 24,310,986,524.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,235,055,296 : 16,526,804,830.50 = 16,526,804,830.50 : x
  2. Step 2: Convert to fraction form
    11,235,055,296/16,526,804,830.50 = 16,526,804,830.50/x
  3. Step 3: Cross multiply
    11,235,055,296x = 16,526,804,830.50 × 16,526,804,830.50
  4. Step 4: Simplify right side
    11,235,055,296x = 273,135,277,905,438,146,560
  5. Step 5: Solve for x
    x = 273,135,277,905,438,146,560/11,235,055,296
  6. Step 6: Final answer
    x = 24,310,986,524.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.