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Finding the Third Proportional to 9,142,200.50 and 19,499,401

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Solution

The third proportional to 9,142,200.50 and 19,499,401 is: 41,590,275.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142,200.50 : 19,499,401 = 19,499,401 : x
  2. Step 2: Convert to fraction form
    9,142,200.50/19,499,401 = 19,499,401/x
  3. Step 3: Cross multiply
    9,142,200.50x = 19,499,401 × 19,499,401
  4. Step 4: Simplify right side
    9,142,200.50x = 380,226,639,358,801
  5. Step 5: Solve for x
    x = 380,226,639,358,801/9,142,200.50
  6. Step 6: Final answer
    x = 41,590,275.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.