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Finding the Third Proportional to 6,419,120 and 14,097,760

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Solution

The third proportional to 6,419,120 and 14,097,760 is: 30,961,695.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419,120 : 14,097,760 = 14,097,760 : x
  2. Step 2: Convert to fraction form
    6,419,120/14,097,760 = 14,097,760/x
  3. Step 3: Cross multiply
    6,419,120x = 14,097,760 × 14,097,760
  4. Step 4: Simplify right side
    6,419,120x = 198,746,837,017,600
  5. Step 5: Solve for x
    x = 198,746,837,017,600/6,419,120
  6. Step 6: Final answer
    x = 30,961,695.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.