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Finding the Third Proportional to 23,300,640 and 51,080,256

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Solution

The third proportional to 23,300,640 and 51,080,256 is: 111,979,437.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,300,640 : 51,080,256 = 51,080,256 : x
  2. Step 2: Convert to fraction form
    23,300,640/51,080,256 = 51,080,256/x
  3. Step 3: Cross multiply
    23,300,640x = 51,080,256 × 51,080,256
  4. Step 4: Simplify right side
    23,300,640x = 2,609,192,553,025,536
  5. Step 5: Solve for x
    x = 2,609,192,553,025,536/23,300,640
  6. Step 6: Final answer
    x = 111,979,437.18

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.