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Finding the Third Proportional to 23,273,680 and 48,959,216

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Solution

The third proportional to 23,273,680 and 48,959,216 is: 102,992,085.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,273,680 : 48,959,216 = 48,959,216 : x
  2. Step 2: Convert to fraction form
    23,273,680/48,959,216 = 48,959,216/x
  3. Step 3: Cross multiply
    23,273,680x = 48,959,216 × 48,959,216
  4. Step 4: Simplify right side
    23,273,680x = 2,397,004,831,334,656
  5. Step 5: Solve for x
    x = 2,397,004,831,334,656/23,273,680
  6. Step 6: Final answer
    x = 102,992,085.11

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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.