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Finding the Third Proportional to 47,469,624 and 97,455,756

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Solution

The third proportional to 47,469,624 and 97,455,756 is: 200,077,935.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,469,624 : 97,455,756 = 97,455,756 : x
  2. Step 2: Convert to fraction form
    47,469,624/97,455,756 = 97,455,756/x
  3. Step 3: Cross multiply
    47,469,624x = 97,455,756 × 97,455,756
  4. Step 4: Simplify right side
    47,469,624x = 9,497,624,377,531,536
  5. Step 5: Solve for x
    x = 9,497,624,377,531,536/47,469,624
  6. Step 6: Final answer
    x = 200,077,935.68

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