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Finding the Third Proportional to 20,440,827 and 31,419,004.50

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Solution

The third proportional to 20,440,827 and 31,419,004.50 is: 48,293,243.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,440,827 : 31,419,004.50 = 31,419,004.50 : x
  2. Step 2: Convert to fraction form
    20,440,827/31,419,004.50 = 31,419,004.50/x
  3. Step 3: Cross multiply
    20,440,827x = 31,419,004.50 × 31,419,004.50
  4. Step 4: Simplify right side
    20,440,827x = 987,153,843,771,020.25
  5. Step 5: Solve for x
    x = 987,153,843,771,020.25/20,440,827
  6. Step 6: Final answer
    x = 48,293,243.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.