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Finding the Third Proportional to 33,693,742.50 and 49,277,013

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Solution

The third proportional to 33,693,742.50 and 49,277,013 is: 72,067,506.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,693,742.50 : 49,277,013 = 49,277,013 : x
  2. Step 2: Convert to fraction form
    33,693,742.50/49,277,013 = 49,277,013/x
  3. Step 3: Cross multiply
    33,693,742.50x = 49,277,013 × 49,277,013
  4. Step 4: Simplify right side
    33,693,742.50x = 2,428,224,010,202,169
  5. Step 5: Solve for x
    x = 2,428,224,010,202,169/33,693,742.50
  6. Step 6: Final answer
    x = 72,067,506.61

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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.