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Finding the Third Proportional to 2,519,008,584.75 and 5,466,197,871

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Solution

The third proportional to 2,519,008,584.75 and 5,466,197,871 is: 11,861,539,236.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519,008,584.75 : 5,466,197,871 = 5,466,197,871 : x
  2. Step 2: Convert to fraction form
    2,519,008,584.75/5,466,197,871 = 5,466,197,871/x
  3. Step 3: Cross multiply
    2,519,008,584.75x = 5,466,197,871 × 5,466,197,871
  4. Step 4: Simplify right side
    2,519,008,584.75x = 29,879,319,164,924,932,096
  5. Step 5: Solve for x
    x = 29,879,319,164,924,932,096/2,519,008,584.75
  6. Step 6: Final answer
    x = 11,861,539,236.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.