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Finding the Third Proportional to 21,322,584 and 31,184,193

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Solution

The third proportional to 21,322,584 and 31,184,193 is: 45,606,756.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,322,584 : 31,184,193 = 31,184,193 : x
  2. Step 2: Convert to fraction form
    21,322,584/31,184,193 = 31,184,193/x
  3. Step 3: Cross multiply
    21,322,584x = 31,184,193 × 31,184,193
  4. Step 4: Simplify right side
    21,322,584x = 972,453,893,061,249
  5. Step 5: Solve for x
    x = 972,453,893,061,249/21,322,584
  6. Step 6: Final answer
    x = 45,606,756.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.