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Finding the Third Proportional to 33,386,883.75 and 72,484,224.75

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Solution

The third proportional to 33,386,883.75 and 72,484,224.75 is: 157,366,074.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,386,883.75 : 72,484,224.75 = 72,484,224.75 : x
  2. Step 2: Convert to fraction form
    33,386,883.75/72,484,224.75 = 72,484,224.75/x
  3. Step 3: Cross multiply
    33,386,883.75x = 72,484,224.75 × 72,484,224.75
  4. Step 4: Simplify right side
    33,386,883.75x = 5,253,962,837,608,513
  5. Step 5: Solve for x
    x = 5,253,962,837,608,513/33,386,883.75
  6. Step 6: Final answer
    x = 157,366,074.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.