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Finding the Third Proportional to 47,469,658 and 97,455,824

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Solution

The third proportional to 47,469,658 and 97,455,824 is: 200,078,071.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,469,658 : 97,455,824 = 97,455,824 : x
  2. Step 2: Convert to fraction form
    47,469,658/97,455,824 = 97,455,824/x
  3. Step 3: Cross multiply
    47,469,658x = 97,455,824 × 97,455,824
  4. Step 4: Simplify right side
    47,469,658x = 9,497,637,631,518,976
  5. Step 5: Solve for x
    x = 9,497,637,631,518,976/47,469,658
  6. Step 6: Final answer
    x = 200,078,071.59

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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.