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Finding the Third Proportional to 30,322,083 and 49,507,992

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Solution

The third proportional to 30,322,083 and 49,507,992 is: 80,833,538.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,322,083 : 49,507,992 = 49,507,992 : x
  2. Step 2: Convert to fraction form
    30,322,083/49,507,992 = 49,507,992/x
  3. Step 3: Cross multiply
    30,322,083x = 49,507,992 × 49,507,992
  4. Step 4: Simplify right side
    30,322,083x = 2,451,041,271,872,064
  5. Step 5: Solve for x
    x = 2,451,041,271,872,064/30,322,083
  6. Step 6: Final answer
    x = 80,833,538.77

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.