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Finding the Third Proportional to 1,617,308,406 and 2,311,171,341

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Solution

The third proportional to 1,617,308,406 and 2,311,171,341 is: 3,302,717,618.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617,308,406 : 2,311,171,341 = 2,311,171,341 : x
  2. Step 2: Convert to fraction form
    1,617,308,406/2,311,171,341 = 2,311,171,341/x
  3. Step 3: Cross multiply
    1,617,308,406x = 2,311,171,341 × 2,311,171,341
  4. Step 4: Simplify right side
    1,617,308,406x = 5,341,512,967,459,738,624
  5. Step 5: Solve for x
    x = 5,341,512,967,459,738,624/1,617,308,406
  6. Step 6: Final answer
    x = 3,302,717,618.76

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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.