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Finding the Third Proportional to 24,035,097 and 36,658,021.50

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Solution

The third proportional to 24,035,097 and 36,658,021.50 is: 55,910,343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,035,097 : 36,658,021.50 = 36,658,021.50 : x
  2. Step 2: Convert to fraction form
    24,035,097/36,658,021.50 = 36,658,021.50/x
  3. Step 3: Cross multiply
    24,035,097x = 36,658,021.50 × 36,658,021.50
  4. Step 4: Simplify right side
    24,035,097x = 1,343,810,540,294,462.25
  5. Step 5: Solve for x
    x = 1,343,810,540,294,462.25/24,035,097
  6. Step 6: Final answer
    x = 55,910,343.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.