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Finding the Third Proportional to 20,413,350,434 and 32,022,494,461

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Solution

The third proportional to 20,413,350,434 and 32,022,494,461 is: 50,233,799,435.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413,350,434 : 32,022,494,461 = 32,022,494,461 : x
  2. Step 2: Convert to fraction form
    20,413,350,434/32,022,494,461 = 32,022,494,461/x
  3. Step 3: Cross multiply
    20,413,350,434x = 32,022,494,461 × 32,022,494,461
  4. Step 4: Simplify right side
    20,413,350,434x = 1,025,440,151,504,775,675,904
  5. Step 5: Solve for x
    x = 1,025,440,151,504,775,675,904/20,413,350,434
  6. Step 6: Final answer
    x = 50,233,799,435.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.