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Finding the Third Proportional to 8,193,966 and 17,643,228

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Solution

The third proportional to 8,193,966 and 17,643,228 is: 37,989,356.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193,966 : 17,643,228 = 17,643,228 : x
  2. Step 2: Convert to fraction form
    8,193,966/17,643,228 = 17,643,228/x
  3. Step 3: Cross multiply
    8,193,966x = 17,643,228 × 17,643,228
  4. Step 4: Simplify right side
    8,193,966x = 311,283,494,259,984
  5. Step 5: Solve for x
    x = 311,283,494,259,984/8,193,966
  6. Step 6: Final answer
    x = 37,989,356.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.