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Finding the Third Proportional to 1,194,745,680 and 1,874,201,744

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Solution

The third proportional to 1,194,745,680 and 1,874,201,744 is: 2,940,066,857.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194,745,680 : 1,874,201,744 = 1,874,201,744 : x
  2. Step 2: Convert to fraction form
    1,194,745,680/1,874,201,744 = 1,874,201,744/x
  3. Step 3: Cross multiply
    1,194,745,680x = 1,874,201,744 × 1,874,201,744
  4. Step 4: Simplify right side
    1,194,745,680x = 3,512,632,177,212,641,280
  5. Step 5: Solve for x
    x = 3,512,632,177,212,641,280/1,194,745,680
  6. Step 6: Final answer
    x = 2,940,066,857.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.