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Finding the Third Proportional to 33,116,324.25 and 49,350,810.38

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Solution

The third proportional to 33,116,324.25 and 49,350,810.38 is: 73,543,865.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,116,324.25 : 49,350,810.38 = 49,350,810.38 : x
  2. Step 2: Convert to fraction form
    33,116,324.25/49,350,810.38 = 49,350,810.38/x
  3. Step 3: Cross multiply
    33,116,324.25x = 49,350,810.38 × 49,350,810.38
  4. Step 4: Simplify right side
    33,116,324.25x = 2,435,502,484,669,207.50
  5. Step 5: Solve for x
    x = 2,435,502,484,669,207.50/33,116,324.25
  6. Step 6: Final answer
    x = 73,543,865.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.