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Finding the Third Proportional to 38,787,271 and 83,459,198

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Solution

The third proportional to 38,787,271 and 83,459,198 is: 179,580,505.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,787,271 : 83,459,198 = 83,459,198 : x
  2. Step 2: Convert to fraction form
    38,787,271/83,459,198 = 83,459,198/x
  3. Step 3: Cross multiply
    38,787,271x = 83,459,198 × 83,459,198
  4. Step 4: Simplify right side
    38,787,271x = 6,965,437,730,803,204
  5. Step 5: Solve for x
    x = 6,965,437,730,803,204/38,787,271
  6. Step 6: Final answer
    x = 179,580,505.44

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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.