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Finding the Third Proportional to 6,467,789 and 14,083,042

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Solution

The third proportional to 6,467,789 and 14,083,042 is: 30,664,585.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467,789 : 14,083,042 = 14,083,042 : x
  2. Step 2: Convert to fraction form
    6,467,789/14,083,042 = 14,083,042/x
  3. Step 3: Cross multiply
    6,467,789x = 14,083,042 × 14,083,042
  4. Step 4: Simplify right side
    6,467,789x = 198,332,071,973,764
  5. Step 5: Solve for x
    x = 198,332,071,973,764/6,467,789
  6. Step 6: Final answer
    x = 30,664,585.99

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