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Finding the Third Proportional to 19,641,224.75 and 46,299,828.75

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Solution

The third proportional to 19,641,224.75 and 46,299,828.75 is: 109,141,571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,641,224.75 : 46,299,828.75 = 46,299,828.75 : x
  2. Step 2: Convert to fraction form
    19,641,224.75/46,299,828.75 = 46,299,828.75/x
  3. Step 3: Cross multiply
    19,641,224.75x = 46,299,828.75 × 46,299,828.75
  4. Step 4: Simplify right side
    19,641,224.75x = 2,143,674,142,279,326.50
  5. Step 5: Solve for x
    x = 2,143,674,142,279,326.50/19,641,224.75
  6. Step 6: Final answer
    x = 109,141,571.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.