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Finding the Third Proportional to 49,246,347,962 and 99,863,033,080

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Solution

The third proportional to 49,246,347,962 and 99,863,033,080 is: 202,504,871,704.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,246,347,962 : 99,863,033,080 = 99,863,033,080 : x
  2. Step 2: Convert to fraction form
    49,246,347,962/99,863,033,080 = 99,863,033,080/x
  3. Step 3: Cross multiply
    49,246,347,962x = 99,863,033,080 × 99,863,033,080
  4. Step 4: Simplify right side
    49,246,347,962x = 9,972,625,375,937,173,651,456
  5. Step 5: Solve for x
    x = 9,972,625,375,937,173,651,456/49,246,347,962
  6. Step 6: Final answer
    x = 202,504,871,704.04

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.