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Finding the Third Proportional to 9,909,024 and 13,954,176

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Solution

The third proportional to 9,909,024 and 13,954,176 is: 19,650,676.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909,024 : 13,954,176 = 13,954,176 : x
  2. Step 2: Convert to fraction form
    9,909,024/13,954,176 = 13,954,176/x
  3. Step 3: Cross multiply
    9,909,024x = 13,954,176 × 13,954,176
  4. Step 4: Simplify right side
    9,909,024x = 194,719,027,838,976
  5. Step 5: Solve for x
    x = 194,719,027,838,976/9,909,024
  6. Step 6: Final answer
    x = 19,650,676.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.