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Finding the Third Proportional to 17,906,036 and 38,364,702

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Solution

The third proportional to 17,906,036 and 38,364,702 is: 82,198,559.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,906,036 : 38,364,702 = 38,364,702 : x
  2. Step 2: Convert to fraction form
    17,906,036/38,364,702 = 38,364,702/x
  3. Step 3: Cross multiply
    17,906,036x = 38,364,702 × 38,364,702
  4. Step 4: Simplify right side
    17,906,036x = 1,471,850,359,548,804
  5. Step 5: Solve for x
    x = 1,471,850,359,548,804/17,906,036
  6. Step 6: Final answer
    x = 82,198,559.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.