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Finding the Third Proportional to 47,469,696 and 97,455,888

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Solution

The third proportional to 47,469,696 and 97,455,888 is: 200,078,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,469,696 : 97,455,888 = 97,455,888 : x
  2. Step 2: Convert to fraction form
    47,469,696/97,455,888 = 97,455,888/x
  3. Step 3: Cross multiply
    47,469,696x = 97,455,888 × 97,455,888
  4. Step 4: Simplify right side
    47,469,696x = 9,497,650,105,868,544
  5. Step 5: Solve for x
    x = 9,497,650,105,868,544/47,469,696
  6. Step 6: Final answer
    x = 200,078,174.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.