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Finding the Third Proportional to 23,846,653.13 and 51,654,922.88

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Solution

The third proportional to 23,846,653.13 and 51,654,922.88 is: 111,891,217.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,846,653.13 : 51,654,922.88 = 51,654,922.88 : x
  2. Step 2: Convert to fraction form
    23,846,653.13/51,654,922.88 = 51,654,922.88/x
  3. Step 3: Cross multiply
    23,846,653.13x = 51,654,922.88 × 51,654,922.88
  4. Step 4: Simplify right side
    23,846,653.13x = 2,668,231,057,222,198.50
  5. Step 5: Solve for x
    x = 2,668,231,057,222,198.50/23,846,653.13
  6. Step 6: Final answer
    x = 111,891,217.74

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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.