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Finding the Third Proportional to 643,413,228 and 1,388,863,044

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Solution

The third proportional to 643,413,228 and 1,388,863,044 is: 2,997,980,879.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,413,228 : 1,388,863,044 = 1,388,863,044 : x
  2. Step 2: Convert to fraction form
    643,413,228/1,388,863,044 = 1,388,863,044/x
  3. Step 3: Cross multiply
    643,413,228x = 1,388,863,044 × 1,388,863,044
  4. Step 4: Simplify right side
    643,413,228x = 1,928,940,554,988,945,920
  5. Step 5: Solve for x
    x = 1,928,940,554,988,945,920/643,413,228
  6. Step 6: Final answer
    x = 2,997,980,879.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.