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Finding the Third Proportional to 383,135,439 and 591,937,812

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Solution

The third proportional to 383,135,439 and 591,937,812 is: 914,533,967.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,135,439 : 591,937,812 = 591,937,812 : x
  2. Step 2: Convert to fraction form
    383,135,439/591,937,812 = 591,937,812/x
  3. Step 3: Cross multiply
    383,135,439x = 591,937,812 × 591,937,812
  4. Step 4: Simplify right side
    383,135,439x = 350,390,373,275,347,328
  5. Step 5: Solve for x
    x = 350,390,373,275,347,328/383,135,439
  6. Step 6: Final answer
    x = 914,533,967.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.