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Finding the Third Proportional to 23,308,992 and 47,542,464

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Solution

The third proportional to 23,308,992 and 47,542,464 is: 96,970,554.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,308,992 : 47,542,464 = 47,542,464 : x
  2. Step 2: Convert to fraction form
    23,308,992/47,542,464 = 47,542,464/x
  3. Step 3: Cross multiply
    23,308,992x = 47,542,464 × 47,542,464
  4. Step 4: Simplify right side
    23,308,992x = 2,260,285,883,191,296
  5. Step 5: Solve for x
    x = 2,260,285,883,191,296/23,308,992
  6. Step 6: Final answer
    x = 96,970,554.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.