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Finding the Third Proportional to 921,847,999 and 2,027,569,394

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Solution

The third proportional to 921,847,999 and 2,027,569,394 is: 4,459,561,285.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,847,999 : 2,027,569,394 = 2,027,569,394 : x
  2. Step 2: Convert to fraction form
    921,847,999/2,027,569,394 = 2,027,569,394/x
  3. Step 3: Cross multiply
    921,847,999x = 2,027,569,394 × 2,027,569,394
  4. Step 4: Simplify right side
    921,847,999x = 4,111,037,647,485,527,040
  5. Step 5: Solve for x
    x = 4,111,037,647,485,527,040/921,847,999
  6. Step 6: Final answer
    x = 4,459,561,285.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.