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Finding the Third Proportional to 49,567,619 and 107,370,022

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Solution

The third proportional to 49,567,619 and 107,370,022 is: 232,577,675.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,567,619 : 107,370,022 = 107,370,022 : x
  2. Step 2: Convert to fraction form
    49,567,619/107,370,022 = 107,370,022/x
  3. Step 3: Cross multiply
    49,567,619x = 107,370,022 × 107,370,022
  4. Step 4: Simplify right side
    49,567,619x = 11,528,321,624,280,484
  5. Step 5: Solve for x
    x = 11,528,321,624,280,484/49,567,619
  6. Step 6: Final answer
    x = 232,577,675.85

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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.