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Finding the Third Proportional to 1,313,177,067 and 2,049,267,424.50

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Solution

The third proportional to 1,313,177,067 and 2,049,267,424.50 is: 3,197,967,039.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313,177,067 : 2,049,267,424.50 = 2,049,267,424.50 : x
  2. Step 2: Convert to fraction form
    1,313,177,067/2,049,267,424.50 = 2,049,267,424.50/x
  3. Step 3: Cross multiply
    1,313,177,067x = 2,049,267,424.50 × 2,049,267,424.50
  4. Step 4: Simplify right side
    1,313,177,067x = 4,199,496,977,116,862,976
  5. Step 5: Solve for x
    x = 4,199,496,977,116,862,976/1,313,177,067
  6. Step 6: Final answer
    x = 3,197,967,039.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.