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Finding the Third Proportional to 2,632,914 and 5,664,394

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Solution

The third proportional to 2,632,914 and 5,664,394 is: 12,186,254.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632,914 : 5,664,394 = 5,664,394 : x
  2. Step 2: Convert to fraction form
    2,632,914/5,664,394 = 5,664,394/x
  3. Step 3: Cross multiply
    2,632,914x = 5,664,394 × 5,664,394
  4. Step 4: Simplify right side
    2,632,914x = 32,085,359,387,236
  5. Step 5: Solve for x
    x = 32,085,359,387,236/2,632,914
  6. Step 6: Final answer
    x = 12,186,254.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.