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Finding the Third Proportional to 1,741,427,383 and 3,788,948,379

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Solution

The third proportional to 1,741,427,383 and 3,788,948,379 is: 8,243,886,571.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,427,383 : 3,788,948,379 = 3,788,948,379 : x
  2. Step 2: Convert to fraction form
    1,741,427,383/3,788,948,379 = 3,788,948,379/x
  3. Step 3: Cross multiply
    1,741,427,383x = 3,788,948,379 × 3,788,948,379
  4. Step 4: Simplify right side
    1,741,427,383x = 14,356,129,818,726,727,680
  5. Step 5: Solve for x
    x = 14,356,129,818,726,727,680/1,741,427,383
  6. Step 6: Final answer
    x = 8,243,886,571.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.