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Finding the Third Proportional to 4,318,647,373,020 and 8,994,746,649,378

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Solution

The third proportional to 4,318,647,373,020 and 8,994,746,649,378 is: 18,733,983,189,259.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,318,647,373,020 : 8,994,746,649,378 = 8,994,746,649,378 : x
  2. Step 2: Convert to fraction form
    4,318,647,373,020/8,994,746,649,378 = 8,994,746,649,378/x
  3. Step 3: Cross multiply
    4,318,647,373,020x = 8,994,746,649,378 × 8,994,746,649,378
  4. Step 4: Simplify right side
    4,318,647,373,020x = 80,905,467,286,496,752,615,555,072
  5. Step 5: Solve for x
    x = 80,905,467,286,496,752,615,555,072/4,318,647,373,020
  6. Step 6: Final answer
    x = 18,733,983,189,259.59

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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.