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Finding the Third Proportional to 23,576,256 and 52,107,696

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Solution

The third proportional to 23,576,256 and 52,107,696 is: 115,167,225.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,576,256 : 52,107,696 = 52,107,696 : x
  2. Step 2: Convert to fraction form
    23,576,256/52,107,696 = 52,107,696/x
  3. Step 3: Cross multiply
    23,576,256x = 52,107,696 × 52,107,696
  4. Step 4: Simplify right side
    23,576,256x = 2,715,211,982,428,416
  5. Step 5: Solve for x
    x = 2,715,211,982,428,416/23,576,256
  6. Step 6: Final answer
    x = 115,167,225.13

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.