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Finding the Third Proportional to 30,681,769,980 and 71,686,458,861

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Solution

The third proportional to 30,681,769,980 and 71,686,458,861 is: 167,491,914,168.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,681,769,980 : 71,686,458,861 = 71,686,458,861 : x
  2. Step 2: Convert to fraction form
    30,681,769,980/71,686,458,861 = 71,686,458,861/x
  3. Step 3: Cross multiply
    30,681,769,980x = 71,686,458,861 × 71,686,458,861
  4. Step 4: Simplify right side
    30,681,769,980x = 5,138,948,384,029,845,487,616
  5. Step 5: Solve for x
    x = 5,138,948,384,029,845,487,616/30,681,769,980
  6. Step 6: Final answer
    x = 167,491,914,168.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.