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Finding the Third Proportional to 496,784,685,034 and 1,080,611,187,600

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Solution

The third proportional to 496,784,685,034 and 1,080,611,187,600 is: 2,350,556,637,401.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,784,685,034 : 1,080,611,187,600 = 1,080,611,187,600 : x
  2. Step 2: Convert to fraction form
    496,784,685,034/1,080,611,187,600 = 1,080,611,187,600/x
  3. Step 3: Cross multiply
    496,784,685,034x = 1,080,611,187,600 × 1,080,611,187,600
  4. Step 4: Simplify right side
    496,784,685,034x = 1,167,720,538,766,282,332,307,456
  5. Step 5: Solve for x
    x = 1,167,720,538,766,282,332,307,456/496,784,685,034
  6. Step 6: Final answer
    x = 2,350,556,637,401.90

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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.