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Finding the Third Proportional to 5,271,986 and 11,510,764

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Solution

The third proportional to 5,271,986 and 11,510,764 is: 25,132,405.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271,986 : 11,510,764 = 11,510,764 : x
  2. Step 2: Convert to fraction form
    5,271,986/11,510,764 = 11,510,764/x
  3. Step 3: Cross multiply
    5,271,986x = 11,510,764 × 11,510,764
  4. Step 4: Simplify right side
    5,271,986x = 132,497,687,863,696
  5. Step 5: Solve for x
    x = 132,497,687,863,696/5,271,986
  6. Step 6: Final answer
    x = 25,132,405.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.