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Finding the Third Proportional to 6,271,614 and 13,296,834

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Solution

The third proportional to 6,271,614 and 13,296,834 is: 28,191,434.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271,614 : 13,296,834 = 13,296,834 : x
  2. Step 2: Convert to fraction form
    6,271,614/13,296,834 = 13,296,834/x
  3. Step 3: Cross multiply
    6,271,614x = 13,296,834 × 13,296,834
  4. Step 4: Simplify right side
    6,271,614x = 176,805,794,423,556
  5. Step 5: Solve for x
    x = 176,805,794,423,556/6,271,614
  6. Step 6: Final answer
    x = 28,191,434.36

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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.