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Finding the Third Proportional to 6,780,870 and 10,240,425

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Solution

The third proportional to 6,780,870 and 10,240,425 is: 15,465,022.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780,870 : 10,240,425 = 10,240,425 : x
  2. Step 2: Convert to fraction form
    6,780,870/10,240,425 = 10,240,425/x
  3. Step 3: Cross multiply
    6,780,870x = 10,240,425 × 10,240,425
  4. Step 4: Simplify right side
    6,780,870x = 104,866,304,180,625
  5. Step 5: Solve for x
    x = 104,866,304,180,625/6,780,870
  6. Step 6: Final answer
    x = 15,465,022.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.