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Finding the Third Proportional to 23,004,199 and 49,239,893

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Solution

The third proportional to 23,004,199 and 49,239,893 is: 105,396,717.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,004,199 : 49,239,893 = 49,239,893 : x
  2. Step 2: Convert to fraction form
    23,004,199/49,239,893 = 49,239,893/x
  3. Step 3: Cross multiply
    23,004,199x = 49,239,893 × 49,239,893
  4. Step 4: Simplify right side
    23,004,199x = 2,424,567,062,651,449
  5. Step 5: Solve for x
    x = 2,424,567,062,651,449/23,004,199
  6. Step 6: Final answer
    x = 105,396,717.47

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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.