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Finding the Third Proportional to 6,416,615.25 and 9,786,539.25

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Solution

The third proportional to 6,416,615.25 and 9,786,539.25 is: 14,926,304.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416,615.25 : 9,786,539.25 = 9,786,539.25 : x
  2. Step 2: Convert to fraction form
    6,416,615.25/9,786,539.25 = 9,786,539.25/x
  3. Step 3: Cross multiply
    6,416,615.25x = 9,786,539.25 × 9,786,539.25
  4. Step 4: Simplify right side
    6,416,615.25x = 95,776,350,491,790.56
  5. Step 5: Solve for x
    x = 95,776,350,491,790.56/6,416,615.25
  6. Step 6: Final answer
    x = 14,926,304.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.