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Finding the Third Proportional to 23,007,663 and 49,203,948

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Solution

The third proportional to 23,007,663 and 49,203,948 is: 105,227,049.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,007,663 : 49,203,948 = 49,203,948 : x
  2. Step 2: Convert to fraction form
    23,007,663/49,203,948 = 49,203,948/x
  3. Step 3: Cross multiply
    23,007,663x = 49,203,948 × 49,203,948
  4. Step 4: Simplify right side
    23,007,663x = 2,421,028,498,786,704
  5. Step 5: Solve for x
    x = 2,421,028,498,786,704/23,007,663
  6. Step 6: Final answer
    x = 105,227,049.73

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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.