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Finding the Third Proportional to 20,299,305.75 and 47,902,728.38

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Solution

The third proportional to 20,299,305.75 and 47,902,728.38 is: 113,041,865.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,299,305.75 : 47,902,728.38 = 47,902,728.38 : x
  2. Step 2: Convert to fraction form
    20,299,305.75/47,902,728.38 = 47,902,728.38/x
  3. Step 3: Cross multiply
    20,299,305.75x = 47,902,728.38 × 47,902,728.38
  4. Step 4: Simplify right side
    20,299,305.75x = 2,294,671,385,769,030
  5. Step 5: Solve for x
    x = 2,294,671,385,769,030/20,299,305.75
  6. Step 6: Final answer
    x = 113,041,865.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.