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Finding the Third Proportional to 6,863,021 and 14,789,743

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Solution

The third proportional to 6,863,021 and 14,789,743 is: 31,871,751.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863,021 : 14,789,743 = 14,789,743 : x
  2. Step 2: Convert to fraction form
    6,863,021/14,789,743 = 14,789,743/x
  3. Step 3: Cross multiply
    6,863,021x = 14,789,743 × 14,789,743
  4. Step 4: Simplify right side
    6,863,021x = 218,736,498,006,049
  5. Step 5: Solve for x
    x = 218,736,498,006,049/6,863,021
  6. Step 6: Final answer
    x = 31,871,751.23

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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.