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Finding the Third Proportional to 4,570,450,198 and 6,436,201,023

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Solution

The third proportional to 4,570,450,198 and 6,436,201,023 is: 9,063,589,321.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570,450,198 : 6,436,201,023 = 6,436,201,023 : x
  2. Step 2: Convert to fraction form
    4,570,450,198/6,436,201,023 = 6,436,201,023/x
  3. Step 3: Cross multiply
    4,570,450,198x = 6,436,201,023 × 6,436,201,023
  4. Step 4: Simplify right side
    4,570,450,198x = 41,424,683,608,466,243,584
  5. Step 5: Solve for x
    x = 41,424,683,608,466,243,584/4,570,450,198
  6. Step 6: Final answer
    x = 9,063,589,321.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.