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Finding the Third Proportional to 2,472,907.50 and 5,211,495

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Solution

The third proportional to 2,472,907.50 and 5,211,495 is: 10,982,893.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472,907.50 : 5,211,495 = 5,211,495 : x
  2. Step 2: Convert to fraction form
    2,472,907.50/5,211,495 = 5,211,495/x
  3. Step 3: Cross multiply
    2,472,907.50x = 5,211,495 × 5,211,495
  4. Step 4: Simplify right side
    2,472,907.50x = 27,159,680,135,025
  5. Step 5: Solve for x
    x = 27,159,680,135,025/2,472,907.50
  6. Step 6: Final answer
    x = 10,982,893.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.