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Finding the Third Proportional to 8,277,984,244 and 18,158,604,064

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Solution

The third proportional to 8,277,984,244 and 18,158,604,064 is: 39,832,752,978.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277,984,244 : 18,158,604,064 = 18,158,604,064 : x
  2. Step 2: Convert to fraction form
    8,277,984,244/18,158,604,064 = 18,158,604,064/x
  3. Step 3: Cross multiply
    8,277,984,244x = 18,158,604,064 × 18,158,604,064
  4. Step 4: Simplify right side
    8,277,984,244x = 329,734,901,553,117,331,456
  5. Step 5: Solve for x
    x = 329,734,901,553,117,331,456/8,277,984,244
  6. Step 6: Final answer
    x = 39,832,752,978.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.