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Finding the Third Proportional to 3,129,010 and 6,497,825

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Solution

The third proportional to 3,129,010 and 6,497,825 is: 13,493,638.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129,010 : 6,497,825 = 6,497,825 : x
  2. Step 2: Convert to fraction form
    3,129,010/6,497,825 = 6,497,825/x
  3. Step 3: Cross multiply
    3,129,010x = 6,497,825 × 6,497,825
  4. Step 4: Simplify right side
    3,129,010x = 42,221,729,730,625
  5. Step 5: Solve for x
    x = 42,221,729,730,625/3,129,010
  6. Step 6: Final answer
    x = 13,493,638.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.