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Finding the Third Proportional to 4,992,591 and 7,311,172.50

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Solution

The third proportional to 4,992,591 and 7,311,172.50 is: 10,706,513.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992,591 : 7,311,172.50 = 7,311,172.50 : x
  2. Step 2: Convert to fraction form
    4,992,591/7,311,172.50 = 7,311,172.50/x
  3. Step 3: Cross multiply
    4,992,591x = 7,311,172.50 × 7,311,172.50
  4. Step 4: Simplify right side
    4,992,591x = 53,453,243,324,756.25
  5. Step 5: Solve for x
    x = 53,453,243,324,756.25/4,992,591
  6. Step 6: Final answer
    x = 10,706,513.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.