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Finding the Third Proportional to 3,315,913,929 and 7,148,362,266

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Solution

The third proportional to 3,315,913,929 and 7,148,362,266 is: 15,410,256,170.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315,913,929 : 7,148,362,266 = 7,148,362,266 : x
  2. Step 2: Convert to fraction form
    3,315,913,929/7,148,362,266 = 7,148,362,266/x
  3. Step 3: Cross multiply
    3,315,913,929x = 7,148,362,266 × 7,148,362,266
  4. Step 4: Simplify right side
    3,315,913,929x = 51,099,083,085,972,652,032
  5. Step 5: Solve for x
    x = 51,099,083,085,972,652,032/3,315,913,929
  6. Step 6: Final answer
    x = 15,410,256,170.73

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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.