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Finding the Third Proportional to 3,118,318,749 and 6,494,585,670

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Solution

The third proportional to 3,118,318,749 and 6,494,585,670 is: 13,526,405,226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118,318,749 : 6,494,585,670 = 6,494,585,670 : x
  2. Step 2: Convert to fraction form
    3,118,318,749/6,494,585,670 = 6,494,585,670/x
  3. Step 3: Cross multiply
    3,118,318,749x = 6,494,585,670 × 6,494,585,670
  4. Step 4: Simplify right side
    3,118,318,749x = 42,179,643,024,969,351,168
  5. Step 5: Solve for x
    x = 42,179,643,024,969,351,168/3,118,318,749
  6. Step 6: Final answer
    x = 13,526,405,226.69

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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.