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Finding the Third Proportional to 15,322,343,877 and 21,567,834,190

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Solution

The third proportional to 15,322,343,877 and 21,567,834,190 is: 30,359,028,317.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,322,343,877 : 21,567,834,190 = 21,567,834,190 : x
  2. Step 2: Convert to fraction form
    15,322,343,877/21,567,834,190 = 21,567,834,190/x
  3. Step 3: Cross multiply
    15,322,343,877x = 21,567,834,190 × 21,567,834,190
  4. Step 4: Simplify right side
    15,322,343,877x = 465,171,471,647,332,958,208
  5. Step 5: Solve for x
    x = 465,171,471,647,332,958,208/15,322,343,877
  6. Step 6: Final answer
    x = 30,359,028,317.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.