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Finding the Third Proportional to 6,320,176 and 14,006,960

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Solution

The third proportional to 6,320,176 and 14,006,960 is: 31,042,636.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320,176 : 14,006,960 = 14,006,960 : x
  2. Step 2: Convert to fraction form
    6,320,176/14,006,960 = 14,006,960/x
  3. Step 3: Cross multiply
    6,320,176x = 14,006,960 × 14,006,960
  4. Step 4: Simplify right side
    6,320,176x = 196,194,928,441,600
  5. Step 5: Solve for x
    x = 196,194,928,441,600/6,320,176
  6. Step 6: Final answer
    x = 31,042,636.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.