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Finding the Third Proportional to 960,380,085 and 2,141,582,671

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Solution

The third proportional to 960,380,085 and 2,141,582,671 is: 4,775,584,592.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,380,085 : 2,141,582,671 = 2,141,582,671 : x
  2. Step 2: Convert to fraction form
    960,380,085/2,141,582,671 = 2,141,582,671/x
  3. Step 3: Cross multiply
    960,380,085x = 2,141,582,671 × 2,141,582,671
  4. Step 4: Simplify right side
    960,380,085x = 4,586,376,336,727,494,144
  5. Step 5: Solve for x
    x = 4,586,376,336,727,494,144/960,380,085
  6. Step 6: Final answer
    x = 4,775,584,592.35

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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.