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Finding the Third Proportional to 3,647,294,841 and 8,601,334,413

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Solution

The third proportional to 3,647,294,841 and 8,601,334,413 is: 20,284,335,900.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647,294,841 : 8,601,334,413 = 8,601,334,413 : x
  2. Step 2: Convert to fraction form
    3,647,294,841/8,601,334,413 = 8,601,334,413/x
  3. Step 3: Cross multiply
    3,647,294,841x = 8,601,334,413 × 8,601,334,413
  4. Step 4: Simplify right side
    3,647,294,841x = 73,982,953,684,258,062,336
  5. Step 5: Solve for x
    x = 73,982,953,684,258,062,336/3,647,294,841
  6. Step 6: Final answer
    x = 20,284,335,900.84

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.