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Finding the Third Proportional to 32,377,516.80 and 49,816,812.38

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Solution

The third proportional to 32,377,516.80 and 49,816,812.38 is: 76,649,324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,377,516.80 : 49,816,812.38 = 49,816,812.38 : x
  2. Step 2: Convert to fraction form
    32,377,516.80/49,816,812.38 = 49,816,812.38/x
  3. Step 3: Cross multiply
    32,377,516.80x = 49,816,812.38 × 49,816,812.38
  4. Step 4: Simplify right side
    32,377,516.80x = 2,481,714,795,205,953
  5. Step 5: Solve for x
    x = 2,481,714,795,205,953/32,377,516.80
  6. Step 6: Final answer
    x = 76,649,324.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.