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Finding the Third Proportional to 3,460,713 and 7,453,893

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Solution

The third proportional to 3,460,713 and 7,453,893 is: 16,054,645.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460,713 : 7,453,893 = 7,453,893 : x
  2. Step 2: Convert to fraction form
    3,460,713/7,453,893 = 7,453,893/x
  3. Step 3: Cross multiply
    3,460,713x = 7,453,893 × 7,453,893
  4. Step 4: Simplify right side
    3,460,713x = 55,560,520,855,449
  5. Step 5: Solve for x
    x = 55,560,520,855,449/3,460,713
  6. Step 6: Final answer
    x = 16,054,645.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.