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Finding the Third Proportional to 1,189,515,888 and 2,576,692,512

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Solution

The third proportional to 1,189,515,888 and 2,576,692,512 is: 5,581,551,594.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189,515,888 : 2,576,692,512 = 2,576,692,512 : x
  2. Step 2: Convert to fraction form
    1,189,515,888/2,576,692,512 = 2,576,692,512/x
  3. Step 3: Cross multiply
    1,189,515,888x = 2,576,692,512 × 2,576,692,512
  4. Step 4: Simplify right side
    1,189,515,888x = 6,639,344,301,396,870,144
  5. Step 5: Solve for x
    x = 6,639,344,301,396,870,144/1,189,515,888
  6. Step 6: Final answer
    x = 5,581,551,594.54

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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.