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Finding the Third Proportional to 33,693,823 and 49,277,133

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Solution

The third proportional to 33,693,823 and 49,277,133 is: 72,067,685.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,693,823 : 49,277,133 = 49,277,133 : x
  2. Step 2: Convert to fraction form
    33,693,823/49,277,133 = 49,277,133/x
  3. Step 3: Cross multiply
    33,693,823x = 49,277,133 × 49,277,133
  4. Step 4: Simplify right side
    33,693,823x = 2,428,235,836,699,689
  5. Step 5: Solve for x
    x = 2,428,235,836,699,689/33,693,823
  6. Step 6: Final answer
    x = 72,067,685.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.