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Finding the Third Proportional to 2,235,531,162,902 and 4,862,750,500,684

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Solution

The third proportional to 2,235,531,162,902 and 4,862,750,500,684 is: 10,577,505,169,378.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235,531,162,902 : 4,862,750,500,684 = 4,862,750,500,684 : x
  2. Step 2: Convert to fraction form
    2,235,531,162,902/4,862,750,500,684 = 4,862,750,500,684/x
  3. Step 3: Cross multiply
    2,235,531,162,902x = 4,862,750,500,684 × 4,862,750,500,684
  4. Step 4: Simplify right side
    2,235,531,162,902x = 23,646,342,431,902,491,671,003,136
  5. Step 5: Solve for x
    x = 23,646,342,431,902,491,671,003,136/2,235,531,162,902
  6. Step 6: Final answer
    x = 10,577,505,169,378.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.