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Finding the Third Proportional to 1,071,685,991 and 2,307,582,330

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Solution

The third proportional to 1,071,685,991 and 2,307,582,330 is: 4,968,746,679.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,685,991 : 2,307,582,330 = 2,307,582,330 : x
  2. Step 2: Convert to fraction form
    1,071,685,991/2,307,582,330 = 2,307,582,330/x
  3. Step 3: Cross multiply
    1,071,685,991x = 2,307,582,330 × 2,307,582,330
  4. Step 4: Simplify right side
    1,071,685,991x = 5,324,936,209,728,229,376
  5. Step 5: Solve for x
    x = 5,324,936,209,728,229,376/1,071,685,991
  6. Step 6: Final answer
    x = 4,968,746,679.95

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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.