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Finding the Third Proportional to 3,084,087 and 6,683,019

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Solution

The third proportional to 3,084,087 and 6,683,019 is: 14,481,674.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084,087 : 6,683,019 = 6,683,019 : x
  2. Step 2: Convert to fraction form
    3,084,087/6,683,019 = 6,683,019/x
  3. Step 3: Cross multiply
    3,084,087x = 6,683,019 × 6,683,019
  4. Step 4: Simplify right side
    3,084,087x = 44,662,742,954,361
  5. Step 5: Solve for x
    x = 44,662,742,954,361/3,084,087
  6. Step 6: Final answer
    x = 14,481,674.14

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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.