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Finding the Third Proportional to 36,860,366,954,109 and 80,209,643,349,092

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Solution

The third proportional to 36,860,366,954,109 and 80,209,643,349,092 is: 174,539,415,036,164.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,860,366,954,109 : 80,209,643,349,092 = 80,209,643,349,092 : x
  2. Step 2: Convert to fraction form
    36,860,366,954,109/80,209,643,349,092 = 80,209,643,349,092/x
  3. Step 3: Cross multiply
    36,860,366,954,109x = 80,209,643,349,092 × 80,209,643,349,092
  4. Step 4: Simplify right side
    36,860,366,954,109x = 6,433,586,886,188,538,689,006,600,192
  5. Step 5: Solve for x
    x = 6,433,586,886,188,538,689,006,600,192/36,860,366,954,109
  6. Step 6: Final answer
    x = 174,539,415,036,164.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.