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Finding the Third Proportional to 7,294,511 and 11,442,529

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Solution

The third proportional to 7,294,511 and 11,442,529 is: 17,949,314.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294,511 : 11,442,529 = 11,442,529 : x
  2. Step 2: Convert to fraction form
    7,294,511/11,442,529 = 11,442,529/x
  3. Step 3: Cross multiply
    7,294,511x = 11,442,529 × 11,442,529
  4. Step 4: Simplify right side
    7,294,511x = 130,931,469,915,841
  5. Step 5: Solve for x
    x = 130,931,469,915,841/7,294,511
  6. Step 6: Final answer
    x = 17,949,314.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.