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Finding the Third Proportional to 383,943,024 and 618,274,728

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Solution

The third proportional to 383,943,024 and 618,274,728 is: 995,625,953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,943,024 : 618,274,728 = 618,274,728 : x
  2. Step 2: Convert to fraction form
    383,943,024/618,274,728 = 618,274,728/x
  3. Step 3: Cross multiply
    383,943,024x = 618,274,728 × 618,274,728
  4. Step 4: Simplify right side
    383,943,024x = 382,263,639,283,473,984
  5. Step 5: Solve for x
    x = 382,263,639,283,473,984/383,943,024
  6. Step 6: Final answer
    x = 995,625,953.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.