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Finding the Third Proportional to 8,474,166.75 and 10,880,650.13

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Solution

The third proportional to 8,474,166.75 and 10,880,650.13 is: 13,970,523.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474,166.75 : 10,880,650.13 = 10,880,650.13 : x
  2. Step 2: Convert to fraction form
    8,474,166.75/10,880,650.13 = 10,880,650.13/x
  3. Step 3: Cross multiply
    8,474,166.75x = 10,880,650.13 × 10,880,650.13
  4. Step 4: Simplify right side
    8,474,166.75x = 118,388,547,142,662.52
  5. Step 5: Solve for x
    x = 118,388,547,142,662.52/8,474,166.75
  6. Step 6: Final answer
    x = 13,970,523.67

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.