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Finding the Third Proportional to 3,238,593,869 and 4,975,741,542

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Solution

The third proportional to 3,238,593,869 and 4,975,741,542 is: 7,644,676,947.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238,593,869 : 4,975,741,542 = 4,975,741,542 : x
  2. Step 2: Convert to fraction form
    3,238,593,869/4,975,741,542 = 4,975,741,542/x
  3. Step 3: Cross multiply
    3,238,593,869x = 4,975,741,542 × 4,975,741,542
  4. Step 4: Simplify right side
    3,238,593,869x = 24,758,003,892,784,537,600
  5. Step 5: Solve for x
    x = 24,758,003,892,784,537,600/3,238,593,869
  6. Step 6: Final answer
    x = 7,644,676,947.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.