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Finding the Third Proportional to 23,846,680 and 51,654,982

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Solution

The third proportional to 23,846,680 and 51,654,982 is: 111,891,347.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,846,680 : 51,654,982 = 51,654,982 : x
  2. Step 2: Convert to fraction form
    23,846,680/51,654,982 = 51,654,982/x
  3. Step 3: Cross multiply
    23,846,680x = 51,654,982 × 51,654,982
  4. Step 4: Simplify right side
    23,846,680x = 2,668,237,165,420,324
  5. Step 5: Solve for x
    x = 2,668,237,165,420,324/23,846,680
  6. Step 6: Final answer
    x = 111,891,347.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.