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Finding the Third Proportional to 1,617,313,626 and 2,311,178,643

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Solution

The third proportional to 1,617,313,626 and 2,311,178,643 is: 3,302,727,828.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617,313,626 : 2,311,178,643 = 2,311,178,643 : x
  2. Step 2: Convert to fraction form
    1,617,313,626/2,311,178,643 = 2,311,178,643/x
  3. Step 3: Cross multiply
    1,617,313,626x = 2,311,178,643 × 2,311,178,643
  4. Step 4: Simplify right side
    1,617,313,626x = 5,341,546,719,859,321,856
  5. Step 5: Solve for x
    x = 5,341,546,719,859,321,856/1,617,313,626
  6. Step 6: Final answer
    x = 3,302,727,828.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.