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Finding the Third Proportional to 1,313,779,728 and 1,836,741,382

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Solution

The third proportional to 1,313,779,728 and 1,836,741,382 is: 2,567,872,553.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313,779,728 : 1,836,741,382 = 1,836,741,382 : x
  2. Step 2: Convert to fraction form
    1,313,779,728/1,836,741,382 = 1,836,741,382/x
  3. Step 3: Cross multiply
    1,313,779,728x = 1,836,741,382 × 1,836,741,382
  4. Step 4: Simplify right side
    1,313,779,728x = 3,373,618,904,351,269,888
  5. Step 5: Solve for x
    x = 3,373,618,904,351,269,888/1,313,779,728
  6. Step 6: Final answer
    x = 2,567,872,553.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.