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Finding the Third Proportional to 6,491,596 and 10,104,774

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Solution

The third proportional to 6,491,596 and 10,104,774 is: 15,729,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491,596 : 10,104,774 = 10,104,774 : x
  2. Step 2: Convert to fraction form
    6,491,596/10,104,774 = 10,104,774/x
  3. Step 3: Cross multiply
    6,491,596x = 10,104,774 × 10,104,774
  4. Step 4: Simplify right side
    6,491,596x = 102,106,457,591,076
  5. Step 5: Solve for x
    x = 102,106,457,591,076/6,491,596
  6. Step 6: Final answer
    x = 15,729,022.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.