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Finding the Third Proportional to 6,296,614 and 13,349,911

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Solution

The third proportional to 6,296,614 and 13,349,911 is: 28,304,120.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296,614 : 13,349,911 = 13,349,911 : x
  2. Step 2: Convert to fraction form
    6,296,614/13,349,911 = 13,349,911/x
  3. Step 3: Cross multiply
    6,296,614x = 13,349,911 × 13,349,911
  4. Step 4: Simplify right side
    6,296,614x = 178,220,123,707,921
  5. Step 5: Solve for x
    x = 178,220,123,707,921/6,296,614
  6. Step 6: Final answer
    x = 28,304,120.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.