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Finding the Third Proportional to 7,459,200.75 and 16,305,065.25

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Solution

The third proportional to 7,459,200.75 and 16,305,065.25 is: 35,641,238.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459,200.75 : 16,305,065.25 = 16,305,065.25 : x
  2. Step 2: Convert to fraction form
    7,459,200.75/16,305,065.25 = 16,305,065.25/x
  3. Step 3: Cross multiply
    7,459,200.75x = 16,305,065.25 × 16,305,065.25
  4. Step 4: Simplify right side
    7,459,200.75x = 265,855,152,806,757.56
  5. Step 5: Solve for x
    x = 265,855,152,806,757.56/7,459,200.75
  6. Step 6: Final answer
    x = 35,641,238.48

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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.