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Finding the Third Proportional to 496,784,686,281 and 1,080,611,190,345

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Solution

The third proportional to 496,784,686,281 and 1,080,611,190,345 is: 2,350,556,643,443.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,784,686,281 : 1,080,611,190,345 = 1,080,611,190,345 : x
  2. Step 2: Convert to fraction form
    496,784,686,281/1,080,611,190,345 = 1,080,611,190,345/x
  3. Step 3: Cross multiply
    496,784,686,281x = 1,080,611,190,345 × 1,080,611,190,345
  4. Step 4: Simplify right side
    496,784,686,281x = 1,167,720,544,698,837,845,934,080
  5. Step 5: Solve for x
    x = 1,167,720,544,698,837,845,934,080/496,784,686,281
  6. Step 6: Final answer
    x = 2,350,556,643,443.58

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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.