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Finding the Third Proportional to 960,380,093 and 2,141,582,686

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Solution

The third proportional to 960,380,093 and 2,141,582,686 is: 4,775,584,619.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,380,093 : 2,141,582,686 = 2,141,582,686 : x
  2. Step 2: Convert to fraction form
    960,380,093/2,141,582,686 = 2,141,582,686/x
  3. Step 3: Cross multiply
    960,380,093x = 2,141,582,686 × 2,141,582,686
  4. Step 4: Simplify right side
    960,380,093x = 4,586,376,400,974,974,464
  5. Step 5: Solve for x
    x = 4,586,376,400,974,974,464/960,380,093
  6. Step 6: Final answer
    x = 4,775,584,619.47

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.