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Finding the Third Proportional to 6,505,016,709,992.70 and 9,841,188,493,020.60

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Solution

The third proportional to 6,505,016,709,992.70 and 9,841,188,493,020.60 is: 14,888,353,907,897.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505,016,709,992.70 : 9,841,188,493,020.60 = 9,841,188,493,020.60 : x
  2. Step 2: Convert to fraction form
    6,505,016,709,992.70/9,841,188,493,020.60 = 9,841,188,493,020.60/x
  3. Step 3: Cross multiply
    6,505,016,709,992.70x = 9,841,188,493,020.60 × 9,841,188,493,020.60
  4. Step 4: Simplify right side
    6,505,016,709,992.70x = 96,848,990,955,161,061,957,828,608
  5. Step 5: Solve for x
    x = 96,848,990,955,161,061,957,828,608/6,505,016,709,992.70
  6. Step 6: Final answer
    x = 14,888,353,907,897.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.