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Finding the Third Proportional to 303,879,680 and 618,498,656

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Solution

The third proportional to 303,879,680 and 618,498,656 is: 1,258,855,437.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,879,680 : 618,498,656 = 618,498,656 : x
  2. Step 2: Convert to fraction form
    303,879,680/618,498,656 = 618,498,656/x
  3. Step 3: Cross multiply
    303,879,680x = 618,498,656 × 618,498,656
  4. Step 4: Simplify right side
    303,879,680x = 382,540,587,473,806,336
  5. Step 5: Solve for x
    x = 382,540,587,473,806,336/303,879,680
  6. Step 6: Final answer
    x = 1,258,855,437.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.