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Finding the Third Proportional to 1,969,551,048 and 4,265,939,040

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Solution

The third proportional to 1,969,551,048 and 4,265,939,040 is: 9,239,788,890.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969,551,048 : 4,265,939,040 = 4,265,939,040 : x
  2. Step 2: Convert to fraction form
    1,969,551,048/4,265,939,040 = 4,265,939,040/x
  3. Step 3: Cross multiply
    1,969,551,048x = 4,265,939,040 × 4,265,939,040
  4. Step 4: Simplify right side
    1,969,551,048x = 18,198,235,892,996,120,576
  5. Step 5: Solve for x
    x = 18,198,235,892,996,120,576/1,969,551,048
  6. Step 6: Final answer
    x = 9,239,788,890.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.