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Finding the Third Proportional to 4,166,112 and 6,293,856

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Solution

The third proportional to 4,166,112 and 6,293,856 is: 9,508,295.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166,112 : 6,293,856 = 6,293,856 : x
  2. Step 2: Convert to fraction form
    4,166,112/6,293,856 = 6,293,856/x
  3. Step 3: Cross multiply
    4,166,112x = 6,293,856 × 6,293,856
  4. Step 4: Simplify right side
    4,166,112x = 39,612,623,348,736
  5. Step 5: Solve for x
    x = 39,612,623,348,736/4,166,112
  6. Step 6: Final answer
    x = 9,508,295.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.