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Finding the Third Proportional to 6,380,112 and 14,000,256

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Solution

The third proportional to 6,380,112 and 14,000,256 is: 30,721,587.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380,112 : 14,000,256 = 14,000,256 : x
  2. Step 2: Convert to fraction form
    6,380,112/14,000,256 = 14,000,256/x
  3. Step 3: Cross multiply
    6,380,112x = 14,000,256 × 14,000,256
  4. Step 4: Simplify right side
    6,380,112x = 196,007,168,065,536
  5. Step 5: Solve for x
    x = 196,007,168,065,536/6,380,112
  6. Step 6: Final answer
    x = 30,721,587.34

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