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Finding the Third Proportional to 17,713,773 and 38,144,286

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Solution

The third proportional to 17,713,773 and 38,144,286 is: 82,138,715.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,713,773 : 38,144,286 = 38,144,286 : x
  2. Step 2: Convert to fraction form
    17,713,773/38,144,286 = 38,144,286/x
  3. Step 3: Cross multiply
    17,713,773x = 38,144,286 × 38,144,286
  4. Step 4: Simplify right side
    17,713,773x = 1,454,986,554,449,796
  5. Step 5: Solve for x
    x = 1,454,986,554,449,796/17,713,773
  6. Step 6: Final answer
    x = 82,138,715.14

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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.