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Finding the Third Proportional to 1,177,795,068 and 2,477,431,704

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Solution

The third proportional to 1,177,795,068 and 2,477,431,704 is: 5,211,150,916.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177,795,068 : 2,477,431,704 = 2,477,431,704 : x
  2. Step 2: Convert to fraction form
    1,177,795,068/2,477,431,704 = 2,477,431,704/x
  3. Step 3: Cross multiply
    1,177,795,068x = 2,477,431,704 × 2,477,431,704
  4. Step 4: Simplify right side
    1,177,795,068x = 6,137,667,847,984,344,064
  5. Step 5: Solve for x
    x = 6,137,667,847,984,344,064/1,177,795,068
  6. Step 6: Final answer
    x = 5,211,150,916.44

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.