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Finding the Third Proportional to 3,224,111.63 and 5,177,103.75

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Solution

The third proportional to 3,224,111.63 and 5,177,103.75 is: 8,313,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224,111.63 : 5,177,103.75 = 5,177,103.75 : x
  2. Step 2: Convert to fraction form
    3,224,111.63/5,177,103.75 = 5,177,103.75/x
  3. Step 3: Cross multiply
    3,224,111.63x = 5,177,103.75 × 5,177,103.75
  4. Step 4: Simplify right side
    3,224,111.63x = 26,802,403,238,264.06
  5. Step 5: Solve for x
    x = 26,802,403,238,264.06/3,224,111.63
  6. Step 6: Final answer
    x = 8,313,112.68

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.