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Finding the Third Proportional to 23,699,997 and 35,394,691.50

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Solution

The third proportional to 23,699,997 and 35,394,691.50 is: 52,860,098.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,699,997 : 35,394,691.50 = 35,394,691.50 : x
  2. Step 2: Convert to fraction form
    23,699,997/35,394,691.50 = 35,394,691.50/x
  3. Step 3: Cross multiply
    23,699,997x = 35,394,691.50 × 35,394,691.50
  4. Step 4: Simplify right side
    23,699,997x = 1,252,784,186,380,172.25
  5. Step 5: Solve for x
    x = 1,252,784,186,380,172.25/23,699,997
  6. Step 6: Final answer
    x = 52,860,098.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.