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Finding the Third Proportional to 17,586,384 and 38,180,730

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Solution

The third proportional to 17,586,384 and 38,180,730 is: 82,891,863.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,586,384 : 38,180,730 = 38,180,730 : x
  2. Step 2: Convert to fraction form
    17,586,384/38,180,730 = 38,180,730/x
  3. Step 3: Cross multiply
    17,586,384x = 38,180,730 × 38,180,730
  4. Step 4: Simplify right side
    17,586,384x = 1,457,768,143,332,900
  5. Step 5: Solve for x
    x = 1,457,768,143,332,900/17,586,384
  6. Step 6: Final answer
    x = 82,891,863.58

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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.