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Finding the Third Proportional to 4,318,647,374,256 and 8,994,746,651,664

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Solution

The third proportional to 4,318,647,374,256 and 8,994,746,651,664 is: 18,733,983,193,420.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,318,647,374,256 : 8,994,746,651,664 = 8,994,746,651,664 : x
  2. Step 2: Convert to fraction form
    4,318,647,374,256/8,994,746,651,664 = 8,994,746,651,664/x
  3. Step 3: Cross multiply
    4,318,647,374,256x = 8,994,746,651,664 × 8,994,746,651,664
  4. Step 4: Simplify right side
    4,318,647,374,256x = 80,905,467,327,620,738,057,240,576
  5. Step 5: Solve for x
    x = 80,905,467,327,620,738,057,240,576/4,318,647,374,256
  6. Step 6: Final answer
    x = 18,733,983,193,420.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.