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Finding the Third Proportional to 10,931,976 and 23,923,296

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Solution

The third proportional to 10,931,976 and 23,923,296 is: 52,353,215.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931,976 : 23,923,296 = 23,923,296 : x
  2. Step 2: Convert to fraction form
    10,931,976/23,923,296 = 23,923,296/x
  3. Step 3: Cross multiply
    10,931,976x = 23,923,296 × 23,923,296
  4. Step 4: Simplify right side
    10,931,976x = 572,324,091,503,616
  5. Step 5: Solve for x
    x = 572,324,091,503,616/10,931,976
  6. Step 6: Final answer
    x = 52,353,215.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.