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Finding the Third Proportional to 6,505,016,710,000.80 and 9,841,188,493,030.80

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Solution

The third proportional to 6,505,016,710,000.80 and 9,841,188,493,030.80 is: 14,888,353,907,910.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505,016,710,000.80 : 9,841,188,493,030.80 = 9,841,188,493,030.80 : x
  2. Step 2: Convert to fraction form
    6,505,016,710,000.80/9,841,188,493,030.80 = 9,841,188,493,030.80/x
  3. Step 3: Cross multiply
    6,505,016,710,000.80x = 9,841,188,493,030.80 × 9,841,188,493,030.80
  4. Step 4: Simplify right side
    6,505,016,710,000.80x = 96,848,990,955,361,843,088,982,016
  5. Step 5: Solve for x
    x = 96,848,990,955,361,843,088,982,016/6,505,016,710,000.80
  6. Step 6: Final answer
    x = 14,888,353,907,910.24

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