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Finding the Third Proportional to 33,308,163 and 77,103,603

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Solution

The third proportional to 33,308,163 and 77,103,603 is: 178,483,742.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,308,163 : 77,103,603 = 77,103,603 : x
  2. Step 2: Convert to fraction form
    33,308,163/77,103,603 = 77,103,603/x
  3. Step 3: Cross multiply
    33,308,163x = 77,103,603 × 77,103,603
  4. Step 4: Simplify right side
    33,308,163x = 5,944,965,595,581,609
  5. Step 5: Solve for x
    x = 5,944,965,595,581,609/33,308,163
  6. Step 6: Final answer
    x = 178,483,742.73

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.