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Finding the Third Proportional to 1,525,099,170 and 2,285,599,779

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Solution

The third proportional to 1,525,099,170 and 2,285,599,779 is: 3,425,328,957.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525,099,170 : 2,285,599,779 = 2,285,599,779 : x
  2. Step 2: Convert to fraction form
    1,525,099,170/2,285,599,779 = 2,285,599,779/x
  3. Step 3: Cross multiply
    1,525,099,170x = 2,285,599,779 × 2,285,599,779
  4. Step 4: Simplify right side
    1,525,099,170x = 5,223,966,349,764,848,640
  5. Step 5: Solve for x
    x = 5,223,966,349,764,848,640/1,525,099,170
  6. Step 6: Final answer
    x = 3,425,328,957.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.