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Finding the Third Proportional to 1,504,786,378 and 2,324,275,756

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Solution

The third proportional to 1,504,786,378 and 2,324,275,756 is: 3,590,049,636.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504,786,378 : 2,324,275,756 = 2,324,275,756 : x
  2. Step 2: Convert to fraction form
    1,504,786,378/2,324,275,756 = 2,324,275,756/x
  3. Step 3: Cross multiply
    1,504,786,378x = 2,324,275,756 × 2,324,275,756
  4. Step 4: Simplify right side
    1,504,786,378x = 5,402,257,789,929,371,648
  5. Step 5: Solve for x
    x = 5,402,257,789,929,371,648/1,504,786,378
  6. Step 6: Final answer
    x = 3,590,049,636.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.