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Finding the Third Proportional to 8,000,739,168 and 17,230,321,664

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Solution

The third proportional to 8,000,739,168 and 17,230,321,664 is: 37,107,069,535.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000,739,168 : 17,230,321,664 = 17,230,321,664 : x
  2. Step 2: Convert to fraction form
    8,000,739,168/17,230,321,664 = 17,230,321,664/x
  3. Step 3: Cross multiply
    8,000,739,168x = 17,230,321,664 × 17,230,321,664
  4. Step 4: Simplify right side
    8,000,739,168x = 296,883,984,644,907,728,896
  5. Step 5: Solve for x
    x = 296,883,984,644,907,728,896/8,000,739,168
  6. Step 6: Final answer
    x = 37,107,069,535.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.