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Finding the Third Proportional to 23,268,256 and 49,703,840

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Solution

The third proportional to 23,268,256 and 49,703,840 is: 106,173,479.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,268,256 : 49,703,840 = 49,703,840 : x
  2. Step 2: Convert to fraction form
    23,268,256/49,703,840 = 49,703,840/x
  3. Step 3: Cross multiply
    23,268,256x = 49,703,840 × 49,703,840
  4. Step 4: Simplify right side
    23,268,256x = 2,470,471,710,745,600
  5. Step 5: Solve for x
    x = 2,470,471,710,745,600/23,268,256
  6. Step 6: Final answer
    x = 106,173,479.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.