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Finding the Third Proportional to 3,709,527.89 and 8,072,285.34

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Solution

The third proportional to 3,709,527.89 and 8,072,285.34 is: 17,566,060.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709,527.89 : 8,072,285.34 = 8,072,285.34 : x
  2. Step 2: Convert to fraction form
    3,709,527.89/8,072,285.34 = 8,072,285.34/x
  3. Step 3: Cross multiply
    3,709,527.89x = 8,072,285.34 × 8,072,285.34
  4. Step 4: Simplify right side
    3,709,527.89x = 65,161,790,670,921.05
  5. Step 5: Solve for x
    x = 65,161,790,670,921.05/3,709,527.89
  6. Step 6: Final answer
    x = 17,566,060.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.