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Finding the Third Proportional to 6,352,116 and 13,846,224

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Solution

The third proportional to 6,352,116 and 13,846,224 is: 30,181,740.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352,116 : 13,846,224 = 13,846,224 : x
  2. Step 2: Convert to fraction form
    6,352,116/13,846,224 = 13,846,224/x
  3. Step 3: Cross multiply
    6,352,116x = 13,846,224 × 13,846,224
  4. Step 4: Simplify right side
    6,352,116x = 191,717,919,058,176
  5. Step 5: Solve for x
    x = 191,717,919,058,176/6,352,116
  6. Step 6: Final answer
    x = 30,181,740.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.