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Finding the Third Proportional to 5,992,564 and 13,206,706

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Solution

The third proportional to 5,992,564 and 13,206,706 is: 29,105,585.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992,564 : 13,206,706 = 13,206,706 : x
  2. Step 2: Convert to fraction form
    5,992,564/13,206,706 = 13,206,706/x
  3. Step 3: Cross multiply
    5,992,564x = 13,206,706 × 13,206,706
  4. Step 4: Simplify right side
    5,992,564x = 174,417,083,370,436
  5. Step 5: Solve for x
    x = 174,417,083,370,436/5,992,564
  6. Step 6: Final answer
    x = 29,105,585.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.