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Finding the Third Proportional to 49,567,694 and 107,370,170

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Solution

The third proportional to 49,567,694 and 107,370,170 is: 232,577,965.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,567,694 : 107,370,170 = 107,370,170 : x
  2. Step 2: Convert to fraction form
    49,567,694/107,370,170 = 107,370,170/x
  3. Step 3: Cross multiply
    49,567,694x = 107,370,170 × 107,370,170
  4. Step 4: Simplify right side
    49,567,694x = 11,528,353,405,828,900
  5. Step 5: Solve for x
    x = 11,528,353,405,828,900/49,567,694
  6. Step 6: Final answer
    x = 232,577,965.11

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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.