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Finding the Third Proportional to 943,757,928 and 1,465,325,538

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Solution

The third proportional to 943,757,928 and 1,465,325,538 is: 2,275,137,372.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,757,928 : 1,465,325,538 = 1,465,325,538 : x
  2. Step 2: Convert to fraction form
    943,757,928/1,465,325,538 = 1,465,325,538/x
  3. Step 3: Cross multiply
    943,757,928x = 1,465,325,538 × 1,465,325,538
  4. Step 4: Simplify right side
    943,757,928x = 2,147,178,932,314,989,568
  5. Step 5: Solve for x
    x = 2,147,178,932,314,989,568/943,757,928
  6. Step 6: Final answer
    x = 2,275,137,372.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.