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Finding the Third Proportional to 1,208,950,180 and 2,563,182,608

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Solution

The third proportional to 1,208,950,180 and 2,563,182,608 is: 5,434,388,604.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208,950,180 : 2,563,182,608 = 2,563,182,608 : x
  2. Step 2: Convert to fraction form
    1,208,950,180/2,563,182,608 = 2,563,182,608/x
  3. Step 3: Cross multiply
    1,208,950,180x = 2,563,182,608 × 2,563,182,608
  4. Step 4: Simplify right side
    1,208,950,180x = 6,569,905,081,953,681,408
  5. Step 5: Solve for x
    x = 6,569,905,081,953,681,408/1,208,950,180
  6. Step 6: Final answer
    x = 5,434,388,604.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.