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Finding the Third Proportional to 1,082,961,097 and 2,373,532,942

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Solution

The third proportional to 1,082,961,097 and 2,373,532,942 is: 5,202,087,722.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082,961,097 : 2,373,532,942 = 2,373,532,942 : x
  2. Step 2: Convert to fraction form
    1,082,961,097/2,373,532,942 = 2,373,532,942/x
  3. Step 3: Cross multiply
    1,082,961,097x = 2,373,532,942 × 2,373,532,942
  4. Step 4: Simplify right side
    1,082,961,097x = 5,633,658,626,759,175,168
  5. Step 5: Solve for x
    x = 5,633,658,626,759,175,168/1,082,961,097
  6. Step 6: Final answer
    x = 5,202,087,722.60

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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.