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Finding the Third Proportional to 46,945,340 and 100,832,236

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Solution

The third proportional to 46,945,340 and 100,832,236 is: 216,573,994.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,945,340 : 100,832,236 = 100,832,236 : x
  2. Step 2: Convert to fraction form
    46,945,340/100,832,236 = 100,832,236/x
  3. Step 3: Cross multiply
    46,945,340x = 100,832,236 × 100,832,236
  4. Step 4: Simplify right side
    46,945,340x = 10,167,139,816,759,696
  5. Step 5: Solve for x
    x = 10,167,139,816,759,696/46,945,340
  6. Step 6: Final answer
    x = 216,573,994.71

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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.