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Finding the Third Proportional to 117,543,813.75 and 274,484,037.38

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Solution

The third proportional to 117,543,813.75 and 274,484,037.38 is: 640,965,137.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,543,813.75 : 274,484,037.38 = 274,484,037.38 : x
  2. Step 2: Convert to fraction form
    117,543,813.75/274,484,037.38 = 274,484,037.38/x
  3. Step 3: Cross multiply
    117,543,813.75x = 274,484,037.38 × 274,484,037.38
  4. Step 4: Simplify right side
    117,543,813.75x = 75,341,486,773,680,400
  5. Step 5: Solve for x
    x = 75,341,486,773,680,400/117,543,813.75
  6. Step 6: Final answer
    x = 640,965,137.76

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.