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Finding the Third Proportional to 3,133,522,398 and 4,740,584,881

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Solution

The third proportional to 3,133,522,398 and 4,740,584,881 is: 7,171,847,575.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133,522,398 : 4,740,584,881 = 4,740,584,881 : x
  2. Step 2: Convert to fraction form
    3,133,522,398/4,740,584,881 = 4,740,584,881/x
  3. Step 3: Cross multiply
    3,133,522,398x = 4,740,584,881 × 4,740,584,881
  4. Step 4: Simplify right side
    3,133,522,398x = 22,473,145,013,965,783,040
  5. Step 5: Solve for x
    x = 22,473,145,013,965,783,040/3,133,522,398
  6. Step 6: Final answer
    x = 7,171,847,575.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.