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Finding the Third Proportional to 43,271,627,874 and 93,992,222,901

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Solution

The third proportional to 43,271,627,874 and 93,992,222,901 is: 204,164,677,871.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,271,627,874 : 93,992,222,901 = 93,992,222,901 : x
  2. Step 2: Convert to fraction form
    43,271,627,874/93,992,222,901 = 93,992,222,901/x
  3. Step 3: Cross multiply
    43,271,627,874x = 93,992,222,901 × 93,992,222,901
  4. Step 4: Simplify right side
    43,271,627,874x = 8,834,537,965,871,269,150,720
  5. Step 5: Solve for x
    x = 8,834,537,965,871,269,150,720/43,271,627,874
  6. Step 6: Final answer
    x = 204,164,677,871.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.