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Finding the Third Proportional to 383,135,429 and 591,937,797

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Solution

The third proportional to 383,135,429 and 591,937,797 is: 914,533,945.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,135,429 : 591,937,797 = 591,937,797 : x
  2. Step 2: Convert to fraction form
    383,135,429/591,937,797 = 591,937,797/x
  3. Step 3: Cross multiply
    383,135,429x = 591,937,797 × 591,937,797
  4. Step 4: Simplify right side
    383,135,429x = 350,390,355,517,213,184
  5. Step 5: Solve for x
    x = 350,390,355,517,213,184/383,135,429
  6. Step 6: Final answer
    x = 914,533,945.43

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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.