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Finding the Third Proportional to 20,282,632 and 31,425,913

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Solution

The third proportional to 20,282,632 and 31,425,913 is: 48,691,314.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,282,632 : 31,425,913 = 31,425,913 : x
  2. Step 2: Convert to fraction form
    20,282,632/31,425,913 = 31,425,913/x
  3. Step 3: Cross multiply
    20,282,632x = 31,425,913 × 31,425,913
  4. Step 4: Simplify right side
    20,282,632x = 987,588,007,883,569
  5. Step 5: Solve for x
    x = 987,588,007,883,569/20,282,632
  6. Step 6: Final answer
    x = 48,691,314.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.