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Finding the Third Proportional to 10,262,533.50 and 22,152,195

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Solution

The third proportional to 10,262,533.50 and 22,152,195 is: 47,816,627.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262,533.50 : 22,152,195 = 22,152,195 : x
  2. Step 2: Convert to fraction form
    10,262,533.50/22,152,195 = 22,152,195/x
  3. Step 3: Cross multiply
    10,262,533.50x = 22,152,195 × 22,152,195
  4. Step 4: Simplify right side
    10,262,533.50x = 490,719,743,318,025
  5. Step 5: Solve for x
    x = 490,719,743,318,025/10,262,533.50
  6. Step 6: Final answer
    x = 47,816,627.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.