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Finding the Third Proportional to 20,413,350,461 and 32,022,494,481

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Solution

The third proportional to 20,413,350,461 and 32,022,494,481 is: 50,233,799,431.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413,350,461 : 32,022,494,481 = 32,022,494,481 : x
  2. Step 2: Convert to fraction form
    20,413,350,461/32,022,494,481 = 32,022,494,481/x
  3. Step 3: Cross multiply
    20,413,350,461x = 32,022,494,481 × 32,022,494,481
  4. Step 4: Simplify right side
    20,413,350,461x = 1,025,440,152,785,675,485,184
  5. Step 5: Solve for x
    x = 1,025,440,152,785,675,485,184/20,413,350,461
  6. Step 6: Final answer
    x = 50,233,799,431.64

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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.