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Finding the Third Proportional to 5,812,708.69 and 9,571,234.78

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Solution

The third proportional to 5,812,708.69 and 9,571,234.78 is: 15,760,042.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812,708.69 : 9,571,234.78 = 9,571,234.78 : x
  2. Step 2: Convert to fraction form
    5,812,708.69/9,571,234.78 = 9,571,234.78/x
  3. Step 3: Cross multiply
    5,812,708.69x = 9,571,234.78 × 9,571,234.78
  4. Step 4: Simplify right side
    5,812,708.69x = 91,608,535,237,809.73
  5. Step 5: Solve for x
    x = 91,608,535,237,809.73/5,812,708.69
  6. Step 6: Final answer
    x = 15,760,042.38

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.