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Finding the Third Proportional to 3,839,760 and 8,249,351.25

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Solution

The third proportional to 3,839,760 and 8,249,351.25 is: 17,722,929.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839,760 : 8,249,351.25 = 8,249,351.25 : x
  2. Step 2: Convert to fraction form
    3,839,760/8,249,351.25 = 8,249,351.25/x
  3. Step 3: Cross multiply
    3,839,760x = 8,249,351.25 × 8,249,351.25
  4. Step 4: Simplify right side
    3,839,760x = 68,051,796,045,876.56
  5. Step 5: Solve for x
    x = 68,051,796,045,876.56/3,839,760
  6. Step 6: Final answer
    x = 17,722,929.57

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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.