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Finding the Third Proportional to 33,686,802 and 74,090,532

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Solution

The third proportional to 33,686,802 and 74,090,532 is: 162,954,231.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,686,802 : 74,090,532 = 74,090,532 : x
  2. Step 2: Convert to fraction form
    33,686,802/74,090,532 = 74,090,532/x
  3. Step 3: Cross multiply
    33,686,802x = 74,090,532 × 74,090,532
  4. Step 4: Simplify right side
    33,686,802x = 5,489,406,932,043,024
  5. Step 5: Solve for x
    x = 5,489,406,932,043,024/33,686,802
  6. Step 6: Final answer
    x = 162,954,231.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.