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Finding the Third Proportional to 2,057,214,687.75 and 4,507,454,907

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Solution

The third proportional to 2,057,214,687.75 and 4,507,454,907 is: 9,876,047,385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057,214,687.75 : 4,507,454,907 = 4,507,454,907 : x
  2. Step 2: Convert to fraction form
    2,057,214,687.75/4,507,454,907 = 4,507,454,907/x
  3. Step 3: Cross multiply
    2,057,214,687.75x = 4,507,454,907 × 4,507,454,907
  4. Step 4: Simplify right side
    2,057,214,687.75x = 20,317,149,738,638,376,960
  5. Step 5: Solve for x
    x = 20,317,149,738,638,376,960/2,057,214,687.75
  6. Step 6: Final answer
    x = 9,876,047,385.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.