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Finding the Third Proportional to 3,238,594,002 and 4,975,741,785

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Solution

The third proportional to 3,238,594,002 and 4,975,741,785 is: 7,644,677,380.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238,594,002 : 4,975,741,785 = 4,975,741,785 : x
  2. Step 2: Convert to fraction form
    3,238,594,002/4,975,741,785 = 4,975,741,785/x
  3. Step 3: Cross multiply
    3,238,594,002x = 4,975,741,785 × 4,975,741,785
  4. Step 4: Simplify right side
    3,238,594,002x = 24,758,006,310,994,984,960
  5. Step 5: Solve for x
    x = 24,758,006,310,994,984,960/3,238,594,002
  6. Step 6: Final answer
    x = 7,644,677,380.28

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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.