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Finding the Third Proportional to 3,297,490,078 and 7,111,526,148

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Solution

The third proportional to 3,297,490,078 and 7,111,526,148 is: 15,337,060,296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297,490,078 : 7,111,526,148 = 7,111,526,148 : x
  2. Step 2: Convert to fraction form
    3,297,490,078/7,111,526,148 = 7,111,526,148/x
  3. Step 3: Cross multiply
    3,297,490,078x = 7,111,526,148 × 7,111,526,148
  4. Step 4: Simplify right side
    3,297,490,078x = 50,573,804,153,687,719,936
  5. Step 5: Solve for x
    x = 50,573,804,153,687,719,936/3,297,490,078
  6. Step 6: Final answer
    x = 15,337,060,296.59

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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.