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Finding the Third Proportional to 921,847,993 and 2,027,569,382

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Solution

The third proportional to 921,847,993 and 2,027,569,382 is: 4,459,561,261.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,847,993 : 2,027,569,382 = 2,027,569,382 : x
  2. Step 2: Convert to fraction form
    921,847,993/2,027,569,382 = 2,027,569,382/x
  3. Step 3: Cross multiply
    921,847,993x = 2,027,569,382 × 2,027,569,382
  4. Step 4: Simplify right side
    921,847,993x = 4,111,037,598,823,861,760
  5. Step 5: Solve for x
    x = 4,111,037,598,823,861,760/921,847,993
  6. Step 6: Final answer
    x = 4,459,561,261.77

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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.