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Finding the Third Proportional to 6,306,660 and 13,834,176

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Solution

The third proportional to 6,306,660 and 13,834,176 is: 30,346,399.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306,660 : 13,834,176 = 13,834,176 : x
  2. Step 2: Convert to fraction form
    6,306,660/13,834,176 = 13,834,176/x
  3. Step 3: Cross multiply
    6,306,660x = 13,834,176 × 13,834,176
  4. Step 4: Simplify right side
    6,306,660x = 191,384,425,598,976
  5. Step 5: Solve for x
    x = 191,384,425,598,976/6,306,660
  6. Step 6: Final answer
    x = 30,346,399.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.