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Finding the Third Proportional to 17,757,357 and 38,971,085

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Solution

The third proportional to 17,757,357 and 38,971,085 is: 85,527,675.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,757,357 : 38,971,085 = 38,971,085 : x
  2. Step 2: Convert to fraction form
    17,757,357/38,971,085 = 38,971,085/x
  3. Step 3: Cross multiply
    17,757,357x = 38,971,085 × 38,971,085
  4. Step 4: Simplify right side
    17,757,357x = 1,518,745,466,077,225
  5. Step 5: Solve for x
    x = 1,518,745,466,077,225/17,757,357
  6. Step 6: Final answer
    x = 85,527,675.43

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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.