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Finding the Third Proportional to 6,093,677 and 12,400,169

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Solution

The third proportional to 6,093,677 and 12,400,169 is: 25,233,400.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093,677 : 12,400,169 = 12,400,169 : x
  2. Step 2: Convert to fraction form
    6,093,677/12,400,169 = 12,400,169/x
  3. Step 3: Cross multiply
    6,093,677x = 12,400,169 × 12,400,169
  4. Step 4: Simplify right side
    6,093,677x = 153,764,191,228,561
  5. Step 5: Solve for x
    x = 153,764,191,228,561/6,093,677
  6. Step 6: Final answer
    x = 25,233,400.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.