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Finding the Third Proportional to 496,784,702,858 and 1,080,611,222,356

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Solution

The third proportional to 496,784,702,858 and 1,080,611,222,356 is: 2,350,556,704,270.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,784,702,858 : 1,080,611,222,356 = 1,080,611,222,356 : x
  2. Step 2: Convert to fraction form
    496,784,702,858/1,080,611,222,356 = 1,080,611,222,356/x
  3. Step 3: Cross multiply
    496,784,702,858x = 1,080,611,222,356 × 1,080,611,222,356
  4. Step 4: Simplify right side
    496,784,702,858x = 1,167,720,613,881,728,534,052,864
  5. Step 5: Solve for x
    x = 1,167,720,613,881,728,534,052,864/496,784,702,858
  6. Step 6: Final answer
    x = 2,350,556,704,270.15

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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.