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Finding the Third Proportional to 4,946,200.88 and 10,738,396.13

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Solution

The third proportional to 4,946,200.88 and 10,738,396.13 is: 23,313,479.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946,200.88 : 10,738,396.13 = 10,738,396.13 : x
  2. Step 2: Convert to fraction form
    4,946,200.88/10,738,396.13 = 10,738,396.13/x
  3. Step 3: Cross multiply
    4,946,200.88x = 10,738,396.13 × 10,738,396.13
  4. Step 4: Simplify right side
    4,946,200.88x = 115,313,151,337,415.02
  5. Step 5: Solve for x
    x = 115,313,151,337,415.02/4,946,200.88
  6. Step 6: Final answer
    x = 23,313,479.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.