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Finding the Third Proportional to 496,784,685,036 and 1,080,611,187,604

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Solution

The third proportional to 496,784,685,036 and 1,080,611,187,604 is: 2,350,556,637,409.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,784,685,036 : 1,080,611,187,604 = 1,080,611,187,604 : x
  2. Step 2: Convert to fraction form
    496,784,685,036/1,080,611,187,604 = 1,080,611,187,604/x
  3. Step 3: Cross multiply
    496,784,685,036x = 1,080,611,187,604 × 1,080,611,187,604
  4. Step 4: Simplify right side
    496,784,685,036x = 1,167,720,538,774,927,296,167,936
  5. Step 5: Solve for x
    x = 1,167,720,538,774,927,296,167,936/496,784,685,036
  6. Step 6: Final answer
    x = 2,350,556,637,409.84

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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.