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Finding the Third Proportional to 6,729,029 and 14,760,826

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Solution

The third proportional to 6,729,029 and 14,760,826 is: 32,379,409.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729,029 : 14,760,826 = 14,760,826 : x
  2. Step 2: Convert to fraction form
    6,729,029/14,760,826 = 14,760,826/x
  3. Step 3: Cross multiply
    6,729,029x = 14,760,826 × 14,760,826
  4. Step 4: Simplify right side
    6,729,029x = 217,881,984,202,276
  5. Step 5: Solve for x
    x = 217,881,984,202,276/6,729,029
  6. Step 6: Final answer
    x = 32,379,409.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.