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Finding the Third Proportional to 3,647,294,392 and 8,601,333,664

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Solution

The third proportional to 3,647,294,392 and 8,601,333,664 is: 20,284,334,865.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647,294,392 : 8,601,333,664 = 8,601,333,664 : x
  2. Step 2: Convert to fraction form
    3,647,294,392/8,601,333,664 = 8,601,333,664/x
  3. Step 3: Cross multiply
    3,647,294,392x = 8,601,333,664 × 8,601,333,664
  4. Step 4: Simplify right side
    3,647,294,392x = 73,982,940,799,459,672,064
  5. Step 5: Solve for x
    x = 73,982,940,799,459,672,064/3,647,294,392
  6. Step 6: Final answer
    x = 20,284,334,865.25

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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.