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Finding the Third Proportional to 796,295,751.75 and 1,236,368,422.69

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Solution

The third proportional to 796,295,751.75 and 1,236,368,422.69 is: 1,919,647,157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,295,751.75 : 1,236,368,422.69 = 1,236,368,422.69 : x
  2. Step 2: Convert to fraction form
    796,295,751.75/1,236,368,422.69 = 1,236,368,422.69/x
  3. Step 3: Cross multiply
    796,295,751.75x = 1,236,368,422.69 × 1,236,368,422.69
  4. Step 4: Simplify right side
    796,295,751.75x = 1,528,606,876,618,776,576
  5. Step 5: Solve for x
    x = 1,528,606,876,618,776,576/796,295,751.75
  6. Step 6: Final answer
    x = 1,919,647,157.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.