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Finding the Third Proportional to 10,313,344 and 21,856,103

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Solution

The third proportional to 10,313,344 and 21,856,103 is: 46,317,589.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313,344 : 21,856,103 = 21,856,103 : x
  2. Step 2: Convert to fraction form
    10,313,344/21,856,103 = 21,856,103/x
  3. Step 3: Cross multiply
    10,313,344x = 21,856,103 × 21,856,103
  4. Step 4: Simplify right side
    10,313,344x = 477,689,238,346,609
  5. Step 5: Solve for x
    x = 477,689,238,346,609/10,313,344
  6. Step 6: Final answer
    x = 46,317,589.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.