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Finding the Third Proportional to 11,209,632 and 23,313,907.50

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Solution

The third proportional to 11,209,632 and 23,313,907.50 is: 48,488,503.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209,632 : 23,313,907.50 = 23,313,907.50 : x
  2. Step 2: Convert to fraction form
    11,209,632/23,313,907.50 = 23,313,907.50/x
  3. Step 3: Cross multiply
    11,209,632x = 23,313,907.50 × 23,313,907.50
  4. Step 4: Simplify right side
    11,209,632x = 543,538,282,918,556.25
  5. Step 5: Solve for x
    x = 543,538,282,918,556.25/11,209,632
  6. Step 6: Final answer
    x = 48,488,503.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.