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Finding the Third Proportional to 17,586,378 and 38,180,718

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Solution

The third proportional to 17,586,378 and 38,180,718 is: 82,891,839.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,586,378 : 38,180,718 = 38,180,718 : x
  2. Step 2: Convert to fraction form
    17,586,378/38,180,718 = 38,180,718/x
  3. Step 3: Cross multiply
    17,586,378x = 38,180,718 × 38,180,718
  4. Step 4: Simplify right side
    17,586,378x = 1,457,767,226,995,524
  5. Step 5: Solve for x
    x = 1,457,767,226,995,524/17,586,378
  6. Step 6: Final answer
    x = 82,891,839.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.