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Finding the Third Proportional to 38,579,884 and 83,217,116.75

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Solution

The third proportional to 38,579,884 and 83,217,116.75 is: 179,499,982.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,579,884 : 83,217,116.75 = 83,217,116.75 : x
  2. Step 2: Convert to fraction form
    38,579,884/83,217,116.75 = 83,217,116.75/x
  3. Step 3: Cross multiply
    38,579,884x = 83,217,116.75 × 83,217,116.75
  4. Step 4: Simplify right side
    38,579,884x = 6,925,088,520,183,131
  5. Step 5: Solve for x
    x = 6,925,088,520,183,131/38,579,884
  6. Step 6: Final answer
    x = 179,499,982.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.