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Finding the Third Proportional to 399,622,245,414 and 862,937,346,098

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Solution

The third proportional to 399,622,245,414 and 862,937,346,098 is: 1,863,411,939,240.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,622,245,414 : 862,937,346,098 = 862,937,346,098 : x
  2. Step 2: Convert to fraction form
    399,622,245,414/862,937,346,098 = 862,937,346,098/x
  3. Step 3: Cross multiply
    399,622,245,414x = 862,937,346,098 × 862,937,346,098
  4. Step 4: Simplify right side
    399,622,245,414x = 744,660,863,290,659,496,263,680
  5. Step 5: Solve for x
    x = 744,660,863,290,659,496,263,680/399,622,245,414
  6. Step 6: Final answer
    x = 1,863,411,939,240.79

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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.