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Finding the Third Proportional to 10,915,114 and 22,150,964

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Solution

The third proportional to 10,915,114 and 22,150,964 is: 44,952,824.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,915,114 : 22,150,964 = 22,150,964 : x
  2. Step 2: Convert to fraction form
    10,915,114/22,150,964 = 22,150,964/x
  3. Step 3: Cross multiply
    10,915,114x = 22,150,964 × 22,150,964
  4. Step 4: Simplify right side
    10,915,114x = 490,665,206,129,296
  5. Step 5: Solve for x
    x = 490,665,206,129,296/10,915,114
  6. Step 6: Final answer
    x = 44,952,824.69

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.