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Finding the Third Proportional to 3,680,128.69 and 7,543,828.69

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Solution

The third proportional to 3,680,128.69 and 7,543,828.69 is: 15,463,956.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680,128.69 : 7,543,828.69 = 7,543,828.69 : x
  2. Step 2: Convert to fraction form
    3,680,128.69/7,543,828.69 = 7,543,828.69/x
  3. Step 3: Cross multiply
    3,680,128.69x = 7,543,828.69 × 7,543,828.69
  4. Step 4: Simplify right side
    3,680,128.69x = 56,909,351,266,347.97
  5. Step 5: Solve for x
    x = 56,909,351,266,347.97/3,680,128.69
  6. Step 6: Final answer
    x = 15,463,956.86

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.