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Finding the Third Proportional to 72,571,691,765 and 100,905,136,603

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Solution

The third proportional to 72,571,691,765 and 100,905,136,603 is: 140,300,526,902.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,571,691,765 : 100,905,136,603 = 100,905,136,603 : x
  2. Step 2: Convert to fraction form
    72,571,691,765/100,905,136,603 = 100,905,136,603/x
  3. Step 3: Cross multiply
    72,571,691,765x = 100,905,136,603 × 100,905,136,603
  4. Step 4: Simplify right side
    72,571,691,765x = 10,181,846,592,870,091,325,440
  5. Step 5: Solve for x
    x = 10,181,846,592,870,091,325,440/72,571,691,765
  6. Step 6: Final answer
    x = 140,300,526,902.98

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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.