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Finding the Third Proportional to 1,846,411,992 and 3,898,856,880

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Solution

The third proportional to 1,846,411,992 and 3,898,856,880 is: 8,232,769,845.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846,411,992 : 3,898,856,880 = 3,898,856,880 : x
  2. Step 2: Convert to fraction form
    1,846,411,992/3,898,856,880 = 3,898,856,880/x
  3. Step 3: Cross multiply
    1,846,411,992x = 3,898,856,880 × 3,898,856,880
  4. Step 4: Simplify right side
    1,846,411,992x = 15,201,084,970,723,334,144
  5. Step 5: Solve for x
    x = 15,201,084,970,723,334,144/1,846,411,992
  6. Step 6: Final answer
    x = 8,232,769,845.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.