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Finding the Third Proportional to 17,713,786.50 and 38,144,313

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Solution

The third proportional to 17,713,786.50 and 38,144,313 is: 82,138,768.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,713,786.50 : 38,144,313 = 38,144,313 : x
  2. Step 2: Convert to fraction form
    17,713,786.50/38,144,313 = 38,144,313/x
  3. Step 3: Cross multiply
    17,713,786.50x = 38,144,313 × 38,144,313
  4. Step 4: Simplify right side
    17,713,786.50x = 1,454,988,614,241,969
  5. Step 5: Solve for x
    x = 1,454,988,614,241,969/17,713,786.50
  6. Step 6: Final answer
    x = 82,138,768.82

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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.