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Finding the Third Proportional to 9,405,828 and 13,745,810.25

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Solution

The third proportional to 9,405,828 and 13,745,810.25 is: 20,088,321.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405,828 : 13,745,810.25 = 13,745,810.25 : x
  2. Step 2: Convert to fraction form
    9,405,828/13,745,810.25 = 13,745,810.25/x
  3. Step 3: Cross multiply
    9,405,828x = 13,745,810.25 × 13,745,810.25
  4. Step 4: Simplify right side
    9,405,828x = 188,947,299,429,005.06
  5. Step 5: Solve for x
    x = 188,947,299,429,005.06/9,405,828
  6. Step 6: Final answer
    x = 20,088,321.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.