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Finding the Third Proportional to 47,469,648 and 97,455,804

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Solution

The third proportional to 47,469,648 and 97,455,804 is: 200,078,031.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,469,648 : 97,455,804 = 97,455,804 : x
  2. Step 2: Convert to fraction form
    47,469,648/97,455,804 = 97,455,804/x
  3. Step 3: Cross multiply
    47,469,648x = 97,455,804 × 97,455,804
  4. Step 4: Simplify right side
    47,469,648x = 9,497,633,733,286,416
  5. Step 5: Solve for x
    x = 9,497,633,733,286,416/47,469,648
  6. Step 6: Final answer
    x = 200,078,031.61

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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.