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Finding the Third Proportional to 2,247,314.63 and 4,952,704.50

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Solution

The third proportional to 2,247,314.63 and 4,952,704.50 is: 10,914,930.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247,314.63 : 4,952,704.50 = 4,952,704.50 : x
  2. Step 2: Convert to fraction form
    2,247,314.63/4,952,704.50 = 4,952,704.50/x
  3. Step 3: Cross multiply
    2,247,314.63x = 4,952,704.50 × 4,952,704.50
  4. Step 4: Simplify right side
    2,247,314.63x = 24,529,281,864,320.25
  5. Step 5: Solve for x
    x = 24,529,281,864,320.25/2,247,314.63
  6. Step 6: Final answer
    x = 10,914,930.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.