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Finding the Third Proportional to 49,567,467 and 107,953,638

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Solution

The third proportional to 49,567,467 and 107,953,638 is: 235,113,647.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,567,467 : 107,953,638 = 107,953,638 : x
  2. Step 2: Convert to fraction form
    49,567,467/107,953,638 = 107,953,638/x
  3. Step 3: Cross multiply
    49,567,467x = 107,953,638 × 107,953,638
  4. Step 4: Simplify right side
    49,567,467x = 11,653,987,957,435,044
  5. Step 5: Solve for x
    x = 11,653,987,957,435,044/49,567,467
  6. Step 6: Final answer
    x = 235,113,647.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.