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Finding the Third Proportional to 664,641,369 and 1,446,317,844

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Solution

The third proportional to 664,641,369 and 1,446,317,844 is: 3,147,314,331.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,641,369 : 1,446,317,844 = 1,446,317,844 : x
  2. Step 2: Convert to fraction form
    664,641,369/1,446,317,844 = 1,446,317,844/x
  3. Step 3: Cross multiply
    664,641,369x = 1,446,317,844 × 1,446,317,844
  4. Step 4: Simplify right side
    664,641,369x = 2,091,835,305,872,808,448
  5. Step 5: Solve for x
    x = 2,091,835,305,872,808,448/664,641,369
  6. Step 6: Final answer
    x = 3,147,314,331.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.