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Finding the Third Proportional to 5,234,842.69 and 7,857,803.67

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Solution

The third proportional to 5,234,842.69 and 7,857,803.67 is: 11,795,020.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234,842.69 : 7,857,803.67 = 7,857,803.67 : x
  2. Step 2: Convert to fraction form
    5,234,842.69/7,857,803.67 = 7,857,803.67/x
  3. Step 3: Cross multiply
    5,234,842.69x = 7,857,803.67 × 7,857,803.67
  4. Step 4: Simplify right side
    5,234,842.69x = 61,745,078,545,732.23
  5. Step 5: Solve for x
    x = 61,745,078,545,732.23/5,234,842.69
  6. Step 6: Final answer
    x = 11,795,020.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.