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Finding the Third Proportional to 7,480,986 and 16,106,181

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Solution

The third proportional to 7,480,986 and 16,106,181 is: 34,675,785.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,480,986 : 16,106,181 = 16,106,181 : x
  2. Step 2: Convert to fraction form
    7,480,986/16,106,181 = 16,106,181/x
  3. Step 3: Cross multiply
    7,480,986x = 16,106,181 × 16,106,181
  4. Step 4: Simplify right side
    7,480,986x = 259,409,066,404,761
  5. Step 5: Solve for x
    x = 259,409,066,404,761/7,480,986
  6. Step 6: Final answer
    x = 34,675,785.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.