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Finding the Third Proportional to 6,914,186 and 10,466,679

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Solution

The third proportional to 6,914,186 and 10,466,679 is: 15,844,434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914,186 : 10,466,679 = 10,466,679 : x
  2. Step 2: Convert to fraction form
    6,914,186/10,466,679 = 10,466,679/x
  3. Step 3: Cross multiply
    6,914,186x = 10,466,679 × 10,466,679
  4. Step 4: Simplify right side
    6,914,186x = 109,551,369,289,041
  5. Step 5: Solve for x
    x = 109,551,369,289,041/6,914,186
  6. Step 6: Final answer
    x = 15,844,434.80

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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.