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Finding the Third Proportional to 46,873,832 and 102,684,592

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Solution

The third proportional to 46,873,832 and 102,684,592 is: 224,946,947.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,873,832 : 102,684,592 = 102,684,592 : x
  2. Step 2: Convert to fraction form
    46,873,832/102,684,592 = 102,684,592/x
  3. Step 3: Cross multiply
    46,873,832x = 102,684,592 × 102,684,592
  4. Step 4: Simplify right side
    46,873,832x = 10,544,125,434,206,464
  5. Step 5: Solve for x
    x = 10,544,125,434,206,464/46,873,832
  6. Step 6: Final answer
    x = 224,946,947.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.