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Finding the Third Proportional to 17,746,828 and 38,183,664

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Solution

The third proportional to 17,746,828 and 38,183,664 is: 82,155,086.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,746,828 : 38,183,664 = 38,183,664 : x
  2. Step 2: Convert to fraction form
    17,746,828/38,183,664 = 38,183,664/x
  3. Step 3: Cross multiply
    17,746,828x = 38,183,664 × 38,183,664
  4. Step 4: Simplify right side
    17,746,828x = 1,457,992,196,464,896
  5. Step 5: Solve for x
    x = 1,457,992,196,464,896/17,746,828
  6. Step 6: Final answer
    x = 82,155,086.90

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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.