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Finding the Third Proportional to 30,681,769,985 and 71,686,458,873

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Solution

The third proportional to 30,681,769,985 and 71,686,458,873 is: 167,491,914,197.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,681,769,985 : 71,686,458,873 = 71,686,458,873 : x
  2. Step 2: Convert to fraction form
    30,681,769,985/71,686,458,873 = 71,686,458,873/x
  3. Step 3: Cross multiply
    30,681,769,985x = 71,686,458,873 × 71,686,458,873
  4. Step 4: Simplify right side
    30,681,769,985x = 5,138,948,385,750,320,676,864
  5. Step 5: Solve for x
    x = 5,138,948,385,750,320,676,864/30,681,769,985
  6. Step 6: Final answer
    x = 167,491,914,197.35

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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.