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Finding the Third Proportional to 49,246,347,627 and 99,863,032,464

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Solution

The third proportional to 49,246,347,627 and 99,863,032,464 is: 202,504,870,583.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,246,347,627 : 99,863,032,464 = 99,863,032,464 : x
  2. Step 2: Convert to fraction form
    49,246,347,627/99,863,032,464 = 99,863,032,464/x
  3. Step 3: Cross multiply
    49,246,347,627x = 99,863,032,464 × 99,863,032,464
  4. Step 4: Simplify right side
    49,246,347,627x = 9,972,625,252,905,918,660,608
  5. Step 5: Solve for x
    x = 9,972,625,252,905,918,660,608/49,246,347,627
  6. Step 6: Final answer
    x = 202,504,870,583.30

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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.