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Finding the Third Proportional to 12,612,921.75 and 27,581,364

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Solution

The third proportional to 12,612,921.75 and 27,581,364 is: 60,313,673.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,612,921.75 : 27,581,364 = 27,581,364 : x
  2. Step 2: Convert to fraction form
    12,612,921.75/27,581,364 = 27,581,364/x
  3. Step 3: Cross multiply
    12,612,921.75x = 27,581,364 × 27,581,364
  4. Step 4: Simplify right side
    12,612,921.75x = 760,731,640,100,496
  5. Step 5: Solve for x
    x = 760,731,640,100,496/12,612,921.75
  6. Step 6: Final answer
    x = 60,313,673.17

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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.