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Finding the Third Proportional to 9,186,102 and 21,456,059

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Solution

The third proportional to 9,186,102 and 21,456,059 is: 50,115,105.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186,102 : 21,456,059 = 21,456,059 : x
  2. Step 2: Convert to fraction form
    9,186,102/21,456,059 = 21,456,059/x
  3. Step 3: Cross multiply
    9,186,102x = 21,456,059 × 21,456,059
  4. Step 4: Simplify right side
    9,186,102x = 460,362,467,811,481
  5. Step 5: Solve for x
    x = 460,362,467,811,481/9,186,102
  6. Step 6: Final answer
    x = 50,115,105.17

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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.