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Finding the Third Proportional to 72,571,691,823 and 100,905,136,677.50

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Solution

The third proportional to 72,571,691,823 and 100,905,136,677.50 is: 140,300,526,998.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,571,691,823 : 100,905,136,677.50 = 100,905,136,677.50 : x
  2. Step 2: Convert to fraction form
    72,571,691,823/100,905,136,677.50 = 100,905,136,677.50/x
  3. Step 3: Cross multiply
    72,571,691,823x = 100,905,136,677.50 × 100,905,136,677.50
  4. Step 4: Simplify right side
    72,571,691,823x = 10,181,846,607,904,955,695,104
  5. Step 5: Solve for x
    x = 10,181,846,607,904,955,695,104/72,571,691,823
  6. Step 6: Final answer
    x = 140,300,526,998.02

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.