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Finding the Third Proportional to 3,018,496,898 and 4,799,847,027

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Solution

The third proportional to 3,018,496,898 and 4,799,847,027 is: 7,632,451,601.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,018,496,898 : 4,799,847,027 = 4,799,847,027 : x
  2. Step 2: Convert to fraction form
    3,018,496,898/4,799,847,027 = 4,799,847,027/x
  3. Step 3: Cross multiply
    3,018,496,898x = 4,799,847,027 × 4,799,847,027
  4. Step 4: Simplify right side
    3,018,496,898x = 23,038,531,482,600,738,816
  5. Step 5: Solve for x
    x = 23,038,531,482,600,738,816/3,018,496,898
  6. Step 6: Final answer
    x = 7,632,451,601.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.