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Finding the Third Proportional to 3,084,114 and 6,683,076

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Solution

The third proportional to 3,084,114 and 6,683,076 is: 14,481,794.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084,114 : 6,683,076 = 6,683,076 : x
  2. Step 2: Convert to fraction form
    3,084,114/6,683,076 = 6,683,076/x
  3. Step 3: Cross multiply
    3,084,114x = 6,683,076 × 6,683,076
  4. Step 4: Simplify right side
    3,084,114x = 44,663,504,821,776
  5. Step 5: Solve for x
    x = 44,663,504,821,776/3,084,114
  6. Step 6: Final answer
    x = 14,481,794.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.