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Finding the Third Proportional to 3,297,490,064 and 7,111,526,160

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Solution

The third proportional to 3,297,490,064 and 7,111,526,160 is: 15,337,060,413.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297,490,064 : 7,111,526,160 = 7,111,526,160 : x
  2. Step 2: Convert to fraction form
    3,297,490,064/7,111,526,160 = 7,111,526,160/x
  3. Step 3: Cross multiply
    3,297,490,064x = 7,111,526,160 × 7,111,526,160
  4. Step 4: Simplify right side
    3,297,490,064x = 50,573,804,324,364,345,344
  5. Step 5: Solve for x
    x = 50,573,804,324,364,345,344/3,297,490,064
  6. Step 6: Final answer
    x = 15,337,060,413.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.