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Finding the Third Proportional to 43,664,698,452 and 65,322,498,531

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Solution

The third proportional to 43,664,698,452 and 65,322,498,531 is: 97,722,621,834.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,664,698,452 : 65,322,498,531 = 65,322,498,531 : x
  2. Step 2: Convert to fraction form
    43,664,698,452/65,322,498,531 = 65,322,498,531/x
  3. Step 3: Cross multiply
    43,664,698,452x = 65,322,498,531 × 65,322,498,531
  4. Step 4: Simplify right side
    43,664,698,452x = 4,267,028,814,332,496,969,728
  5. Step 5: Solve for x
    x = 4,267,028,814,332,496,969,728/43,664,698,452
  6. Step 6: Final answer
    x = 97,722,621,834.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.