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Finding the Third Proportional to 1,090,494,372 and 2,347,270,728

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Solution

The third proportional to 1,090,494,372 and 2,347,270,728 is: 5,052,460,619.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090,494,372 : 2,347,270,728 = 2,347,270,728 : x
  2. Step 2: Convert to fraction form
    1,090,494,372/2,347,270,728 = 2,347,270,728/x
  3. Step 3: Cross multiply
    1,090,494,372x = 2,347,270,728 × 2,347,270,728
  4. Step 4: Simplify right side
    1,090,494,372x = 5,509,679,870,525,649,920
  5. Step 5: Solve for x
    x = 5,509,679,870,525,649,920/1,090,494,372
  6. Step 6: Final answer
    x = 5,052,460,619.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.