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Finding the Third Proportional to 1,529,362,479.75 and 2,361,603,324

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Solution

The third proportional to 1,529,362,479.75 and 2,361,603,324 is: 3,646,728,838.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529,362,479.75 : 2,361,603,324 = 2,361,603,324 : x
  2. Step 2: Convert to fraction form
    1,529,362,479.75/2,361,603,324 = 2,361,603,324/x
  3. Step 3: Cross multiply
    1,529,362,479.75x = 2,361,603,324 × 2,361,603,324
  4. Step 4: Simplify right side
    1,529,362,479.75x = 5,577,170,259,927,848,960
  5. Step 5: Solve for x
    x = 5,577,170,259,927,848,960/1,529,362,479.75
  6. Step 6: Final answer
    x = 3,646,728,838.83

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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.