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Finding the Third Proportional to 4,593,037 and 10,727,996.50

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Solution

The third proportional to 4,593,037 and 10,727,996.50 is: 25,057,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,593,037 : 10,727,996.50 = 10,727,996.50 : x
  2. Step 2: Convert to fraction form
    4,593,037/10,727,996.50 = 10,727,996.50/x
  3. Step 3: Cross multiply
    4,593,037x = 10,727,996.50 × 10,727,996.50
  4. Step 4: Simplify right side
    4,593,037x = 115,089,908,904,012.25
  5. Step 5: Solve for x
    x = 115,089,908,904,012.25/4,593,037
  6. Step 6: Final answer
    x = 25,057,474.80

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.