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Finding the Third Proportional to 5,794,736.50 and 7,870,025

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Solution

The third proportional to 5,794,736.50 and 7,870,025 is: 10,688,543.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794,736.50 : 7,870,025 = 7,870,025 : x
  2. Step 2: Convert to fraction form
    5,794,736.50/7,870,025 = 7,870,025/x
  3. Step 3: Cross multiply
    5,794,736.50x = 7,870,025 × 7,870,025
  4. Step 4: Simplify right side
    5,794,736.50x = 61,937,293,500,625
  5. Step 5: Solve for x
    x = 61,937,293,500,625/5,794,736.50
  6. Step 6: Final answer
    x = 10,688,543.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.