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Finding the Third Proportional to 3,647,294,829 and 8,601,334,383

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Solution

The third proportional to 3,647,294,829 and 8,601,334,383 is: 20,284,335,826.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647,294,829 : 8,601,334,383 = 8,601,334,383 : x
  2. Step 2: Convert to fraction form
    3,647,294,829/8,601,334,383 = 8,601,334,383/x
  3. Step 3: Cross multiply
    3,647,294,829x = 8,601,334,383 × 8,601,334,383
  4. Step 4: Simplify right side
    3,647,294,829x = 73,982,953,168,177,987,584
  5. Step 5: Solve for x
    x = 73,982,953,168,177,987,584/3,647,294,829
  6. Step 6: Final answer
    x = 20,284,335,826.08

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Why These Related Problems?

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