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Finding the Third Proportional to 921,847,997 and 2,027,569,390

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Solution

The third proportional to 921,847,997 and 2,027,569,390 is: 4,459,561,277.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,847,997 : 2,027,569,390 = 2,027,569,390 : x
  2. Step 2: Convert to fraction form
    921,847,997/2,027,569,390 = 2,027,569,390/x
  3. Step 3: Cross multiply
    921,847,997x = 2,027,569,390 × 2,027,569,390
  4. Step 4: Simplify right side
    921,847,997x = 4,111,037,631,264,972,288
  5. Step 5: Solve for x
    x = 4,111,037,631,264,972,288/921,847,997
  6. Step 6: Final answer
    x = 4,459,561,277.61

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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.