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Finding the Third Proportional to 3,096,840 and 6,683,568

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Solution

The third proportional to 3,096,840 and 6,683,568 is: 14,424,407.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096,840 : 6,683,568 = 6,683,568 : x
  2. Step 2: Convert to fraction form
    3,096,840/6,683,568 = 6,683,568/x
  3. Step 3: Cross multiply
    3,096,840x = 6,683,568 × 6,683,568
  4. Step 4: Simplify right side
    3,096,840x = 44,670,081,210,624
  5. Step 5: Solve for x
    x = 44,670,081,210,624/3,096,840
  6. Step 6: Final answer
    x = 14,424,407.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.