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Finding the Third Proportional to 3,217,037,558 and 6,942,193,948

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Solution

The third proportional to 3,217,037,558 and 6,942,193,948 is: 14,980,880,994.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217,037,558 : 6,942,193,948 = 6,942,193,948 : x
  2. Step 2: Convert to fraction form
    3,217,037,558/6,942,193,948 = 6,942,193,948/x
  3. Step 3: Cross multiply
    3,217,037,558x = 6,942,193,948 × 6,942,193,948
  4. Step 4: Simplify right side
    3,217,037,558x = 48,194,056,811,647,827,968
  5. Step 5: Solve for x
    x = 48,194,056,811,647,827,968/3,217,037,558
  6. Step 6: Final answer
    x = 14,980,880,994.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.