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Finding the Third Proportional to 3,238,593,768 and 4,975,741,392

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Solution

The third proportional to 3,238,593,768 and 4,975,741,392 is: 7,644,676,725.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238,593,768 : 4,975,741,392 = 4,975,741,392 : x
  2. Step 2: Convert to fraction form
    3,238,593,768/4,975,741,392 = 4,975,741,392/x
  3. Step 3: Cross multiply
    3,238,593,768x = 4,975,741,392 × 4,975,741,392
  4. Step 4: Simplify right side
    3,238,593,768x = 24,758,002,400,062,099,456
  5. Step 5: Solve for x
    x = 24,758,002,400,062,099,456/3,238,593,768
  6. Step 6: Final answer
    x = 7,644,676,725.03

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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.