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Finding the Third Proportional to 2,946,736 and 6,346,896

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Solution

The third proportional to 2,946,736 and 6,346,896 is: 13,670,409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946,736 : 6,346,896 = 6,346,896 : x
  2. Step 2: Convert to fraction form
    2,946,736/6,346,896 = 6,346,896/x
  3. Step 3: Cross multiply
    2,946,736x = 6,346,896 × 6,346,896
  4. Step 4: Simplify right side
    2,946,736x = 40,283,088,834,816
  5. Step 5: Solve for x
    x = 40,283,088,834,816/2,946,736
  6. Step 6: Final answer
    x = 13,670,409.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.