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Finding the Third Proportional to 1,529,362,764.75 and 2,361,603,744

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Solution

The third proportional to 1,529,362,764.75 and 2,361,603,744 is: 3,646,729,456.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529,362,764.75 : 2,361,603,744 = 2,361,603,744 : x
  2. Step 2: Convert to fraction form
    1,529,362,764.75/2,361,603,744 = 2,361,603,744/x
  3. Step 3: Cross multiply
    1,529,362,764.75x = 2,361,603,744 × 2,361,603,744
  4. Step 4: Simplify right side
    1,529,362,764.75x = 5,577,172,243,674,817,536
  5. Step 5: Solve for x
    x = 5,577,172,243,674,817,536/1,529,362,764.75
  6. Step 6: Final answer
    x = 3,646,729,456.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.