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Finding the Third Proportional to 23,273,684 and 48,959,224

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Solution

The third proportional to 23,273,684 and 48,959,224 is: 102,992,101.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,273,684 : 48,959,224 = 48,959,224 : x
  2. Step 2: Convert to fraction form
    23,273,684/48,959,224 = 48,959,224/x
  3. Step 3: Cross multiply
    23,273,684x = 48,959,224 × 48,959,224
  4. Step 4: Simplify right side
    23,273,684x = 2,397,005,614,682,176
  5. Step 5: Solve for x
    x = 2,397,005,614,682,176/23,273,684
  6. Step 6: Final answer
    x = 102,992,101.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.