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Finding the Third Proportional to 20,129,960,124 and 30,020,375,457

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Solution

The third proportional to 20,129,960,124 and 30,020,375,457 is: 44,770,229,897.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,129,960,124 : 30,020,375,457 = 30,020,375,457 : x
  2. Step 2: Convert to fraction form
    20,129,960,124/30,020,375,457 = 30,020,375,457/x
  3. Step 3: Cross multiply
    20,129,960,124x = 30,020,375,457 × 30,020,375,457
  4. Step 4: Simplify right side
    20,129,960,124x = 901,222,942,579,247,939,584
  5. Step 5: Solve for x
    x = 901,222,942,579,247,939,584/20,129,960,124
  6. Step 6: Final answer
    x = 44,770,229,897.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.