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Finding the Third Proportional to 1,540,143,388 and 3,362,514,832

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Solution

The third proportional to 1,540,143,388 and 3,362,514,832 is: 7,341,203,477.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540,143,388 : 3,362,514,832 = 3,362,514,832 : x
  2. Step 2: Convert to fraction form
    1,540,143,388/3,362,514,832 = 3,362,514,832/x
  3. Step 3: Cross multiply
    1,540,143,388x = 3,362,514,832 × 3,362,514,832
  4. Step 4: Simplify right side
    1,540,143,388x = 11,306,505,995,419,987,968
  5. Step 5: Solve for x
    x = 11,306,505,995,419,987,968/1,540,143,388
  6. Step 6: Final answer
    x = 7,341,203,477.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.