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Finding the Third Proportional to 9,220,149 and 13,531,286.25

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Solution

The third proportional to 9,220,149 and 13,531,286.25 is: 19,858,215.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220,149 : 13,531,286.25 = 13,531,286.25 : x
  2. Step 2: Convert to fraction form
    9,220,149/13,531,286.25 = 13,531,286.25/x
  3. Step 3: Cross multiply
    9,220,149x = 13,531,286.25 × 13,531,286.25
  4. Step 4: Simplify right side
    9,220,149x = 183,095,707,579,439.06
  5. Step 5: Solve for x
    x = 183,095,707,579,439.06/9,220,149
  6. Step 6: Final answer
    x = 19,858,215.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.