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Finding the Third Proportional to 3,274,412 and 6,888,138

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Solution

The third proportional to 3,274,412 and 6,888,138 is: 14,490,065.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274,412 : 6,888,138 = 6,888,138 : x
  2. Step 2: Convert to fraction form
    3,274,412/6,888,138 = 6,888,138/x
  3. Step 3: Cross multiply
    3,274,412x = 6,888,138 × 6,888,138
  4. Step 4: Simplify right side
    3,274,412x = 47,446,445,107,044
  5. Step 5: Solve for x
    x = 47,446,445,107,044/3,274,412
  6. Step 6: Final answer
    x = 14,490,065.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.