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Finding the Third Proportional to 13,676,468,760 and 20,434,194,468

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Solution

The third proportional to 13,676,468,760 and 20,434,194,468 is: 30,531,002,620.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676,468,760 : 20,434,194,468 = 20,434,194,468 : x
  2. Step 2: Convert to fraction form
    13,676,468,760/20,434,194,468 = 20,434,194,468/x
  3. Step 3: Cross multiply
    13,676,468,760x = 20,434,194,468 × 20,434,194,468
  4. Step 4: Simplify right side
    13,676,468,760x = 417,556,303,556,041,834,496
  5. Step 5: Solve for x
    x = 417,556,303,556,041,834,496/13,676,468,760
  6. Step 6: Final answer
    x = 30,531,002,620.89

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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.