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Finding the Third Proportional to 796,969,738 and 1,250,097,077

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Solution

The third proportional to 796,969,738 and 1,250,097,077 is: 1,960,855,760.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,969,738 : 1,250,097,077 = 1,250,097,077 : x
  2. Step 2: Convert to fraction form
    796,969,738/1,250,097,077 = 1,250,097,077/x
  3. Step 3: Cross multiply
    796,969,738x = 1,250,097,077 × 1,250,097,077
  4. Step 4: Simplify right side
    796,969,738x = 1,562,742,701,923,943,936
  5. Step 5: Solve for x
    x = 1,562,742,701,923,943,936/796,969,738
  6. Step 6: Final answer
    x = 1,960,855,760.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.