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Finding the Third Proportional to 13,102,992 and 28,352,256

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Solution

The third proportional to 13,102,992 and 28,352,256 is: 61,348,615.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102,992 : 28,352,256 = 28,352,256 : x
  2. Step 2: Convert to fraction form
    13,102,992/28,352,256 = 28,352,256/x
  3. Step 3: Cross multiply
    13,102,992x = 28,352,256 × 28,352,256
  4. Step 4: Simplify right side
    13,102,992x = 803,850,420,289,536
  5. Step 5: Solve for x
    x = 803,850,420,289,536/13,102,992
  6. Step 6: Final answer
    x = 61,348,615.67

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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.