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Finding the Third Proportional to 9,186,120 and 21,456,104

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Solution

The third proportional to 9,186,120 and 21,456,104 is: 50,115,217.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186,120 : 21,456,104 = 21,456,104 : x
  2. Step 2: Convert to fraction form
    9,186,120/21,456,104 = 21,456,104/x
  3. Step 3: Cross multiply
    9,186,120x = 21,456,104 × 21,456,104
  4. Step 4: Simplify right side
    9,186,120x = 460,364,398,858,816
  5. Step 5: Solve for x
    x = 460,364,398,858,816/9,186,120
  6. Step 6: Final answer
    x = 50,115,217.18

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.