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Finding the Third Proportional to 303,879,664 and 618,498,632

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Solution

The third proportional to 303,879,664 and 618,498,632 is: 1,258,855,405.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,879,664 : 618,498,632 = 618,498,632 : x
  2. Step 2: Convert to fraction form
    303,879,664/618,498,632 = 618,498,632/x
  3. Step 3: Cross multiply
    303,879,664x = 618,498,632 × 618,498,632
  4. Step 4: Simplify right side
    303,879,664x = 382,540,557,785,871,424
  5. Step 5: Solve for x
    x = 382,540,557,785,871,424/303,879,664
  6. Step 6: Final answer
    x = 1,258,855,405.95

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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.