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Finding the Third Proportional to 9,474,033 and 14,388,358.50

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Solution

The third proportional to 9,474,033 and 14,388,358.50 is: 21,851,819.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474,033 : 14,388,358.50 = 14,388,358.50 : x
  2. Step 2: Convert to fraction form
    9,474,033/14,388,358.50 = 14,388,358.50/x
  3. Step 3: Cross multiply
    9,474,033x = 14,388,358.50 × 14,388,358.50
  4. Step 4: Simplify right side
    9,474,033x = 207,024,860,324,522.25
  5. Step 5: Solve for x
    x = 207,024,860,324,522.25/9,474,033
  6. Step 6: Final answer
    x = 21,851,819.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.