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Finding the Third Proportional to 17,586,492 and 38,180,964

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Solution

The third proportional to 17,586,492 and 38,180,964 is: 82,892,370.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,586,492 : 38,180,964 = 38,180,964 : x
  2. Step 2: Convert to fraction form
    17,586,492/38,180,964 = 38,180,964/x
  3. Step 3: Cross multiply
    17,586,492x = 38,180,964 × 38,180,964
  4. Step 4: Simplify right side
    17,586,492x = 1,457,786,011,969,296
  5. Step 5: Solve for x
    x = 1,457,786,011,969,296/17,586,492
  6. Step 6: Final answer
    x = 82,892,370.57

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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.