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Finding the Third Proportional to 2,321,171,841 and 5,098,344,187

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Solution

The third proportional to 2,321,171,841 and 5,098,344,187 is: 11,198,271,920.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321,171,841 : 5,098,344,187 = 5,098,344,187 : x
  2. Step 2: Convert to fraction form
    2,321,171,841/5,098,344,187 = 5,098,344,187/x
  3. Step 3: Cross multiply
    2,321,171,841x = 5,098,344,187 × 5,098,344,187
  4. Step 4: Simplify right side
    2,321,171,841x = 25,993,113,449,116,692,480
  5. Step 5: Solve for x
    x = 25,993,113,449,116,692,480/2,321,171,841
  6. Step 6: Final answer
    x = 11,198,271,920.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.