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Finding the Third Proportional to 72,571,691,764 and 100,905,136,602

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Solution

The third proportional to 72,571,691,764 and 100,905,136,602 is: 140,300,526,902.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,571,691,764 : 100,905,136,602 = 100,905,136,602 : x
  2. Step 2: Convert to fraction form
    72,571,691,764/100,905,136,602 = 100,905,136,602/x
  3. Step 3: Cross multiply
    72,571,691,764x = 100,905,136,602 × 100,905,136,602
  4. Step 4: Simplify right side
    72,571,691,764x = 10,181,846,592,668,280,291,328
  5. Step 5: Solve for x
    x = 10,181,846,592,668,280,291,328/72,571,691,764
  6. Step 6: Final answer
    x = 140,300,526,902.13

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Why These Related Problems?

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