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Finding the Third Proportional to 7,202,081 and 11,148,164

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Solution

The third proportional to 7,202,081 and 11,148,164 is: 17,256,340.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202,081 : 11,148,164 = 11,148,164 : x
  2. Step 2: Convert to fraction form
    7,202,081/11,148,164 = 11,148,164/x
  3. Step 3: Cross multiply
    7,202,081x = 11,148,164 × 11,148,164
  4. Step 4: Simplify right side
    7,202,081x = 124,281,560,570,896
  5. Step 5: Solve for x
    x = 124,281,560,570,896/7,202,081
  6. Step 6: Final answer
    x = 17,256,340.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.