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Finding the Third Proportional to 24,284,232 and 49,543,933.50

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Solution

The third proportional to 24,284,232 and 49,543,933.50 is: 101,077,989.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,284,232 : 49,543,933.50 = 49,543,933.50 : x
  2. Step 2: Convert to fraction form
    24,284,232/49,543,933.50 = 49,543,933.50/x
  3. Step 3: Cross multiply
    24,284,232x = 49,543,933.50 × 49,543,933.50
  4. Step 4: Simplify right side
    24,284,232x = 2,454,601,346,652,422
  5. Step 5: Solve for x
    x = 2,454,601,346,652,422/24,284,232
  6. Step 6: Final answer
    x = 101,077,989.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.