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Finding the Third Proportional to 46,816,701 and 100,536,234

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Solution

The third proportional to 46,816,701 and 100,536,234 is: 215,895,911.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,816,701 : 100,536,234 = 100,536,234 : x
  2. Step 2: Convert to fraction form
    46,816,701/100,536,234 = 100,536,234/x
  3. Step 3: Cross multiply
    46,816,701x = 100,536,234 × 100,536,234
  4. Step 4: Simplify right side
    46,816,701x = 10,107,534,346,902,756
  5. Step 5: Solve for x
    x = 10,107,534,346,902,756/46,816,701
  6. Step 6: Final answer
    x = 215,895,911.74

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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.