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Finding the Third Proportional to 4,318,647,374,258 and 8,994,746,651,668

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Solution

The third proportional to 4,318,647,374,258 and 8,994,746,651,668 is: 18,733,983,193,428.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,318,647,374,258 : 8,994,746,651,668 = 8,994,746,651,668 : x
  2. Step 2: Convert to fraction form
    4,318,647,374,258/8,994,746,651,668 = 8,994,746,651,668/x
  3. Step 3: Cross multiply
    4,318,647,374,258x = 8,994,746,651,668 × 8,994,746,651,668
  4. Step 4: Simplify right side
    4,318,647,374,258x = 80,905,467,327,692,704,529,252,352
  5. Step 5: Solve for x
    x = 80,905,467,327,692,704,529,252,352/4,318,647,374,258
  6. Step 6: Final answer
    x = 18,733,983,193,428.32

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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.