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Finding the Third Proportional to 47,469,660 and 97,455,828

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Solution

The third proportional to 47,469,660 and 97,455,828 is: 200,078,079.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,469,660 : 97,455,828 = 97,455,828 : x
  2. Step 2: Convert to fraction form
    47,469,660/97,455,828 = 97,455,828/x
  3. Step 3: Cross multiply
    47,469,660x = 97,455,828 × 97,455,828
  4. Step 4: Simplify right side
    47,469,660x = 9,497,638,411,165,584
  5. Step 5: Solve for x
    x = 9,497,638,411,165,584/47,469,660
  6. Step 6: Final answer
    x = 200,078,079.58

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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.