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Finding the Third Proportional to 2,733,355.13 and 5,981,475.38

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Solution

The third proportional to 2,733,355.13 and 5,981,475.38 is: 13,089,425.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733,355.13 : 5,981,475.38 = 5,981,475.38 : x
  2. Step 2: Convert to fraction form
    2,733,355.13/5,981,475.38 = 5,981,475.38/x
  3. Step 3: Cross multiply
    2,733,355.13x = 5,981,475.38 × 5,981,475.38
  4. Step 4: Simplify right side
    2,733,355.13x = 35,778,047,661,731.39
  5. Step 5: Solve for x
    x = 35,778,047,661,731.39/2,733,355.13
  6. Step 6: Final answer
    x = 13,089,425.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.