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Finding the Third Proportional to 11,683,463.50 and 25,424,205

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Solution

The third proportional to 11,683,463.50 and 25,424,205 is: 55,325,220.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683,463.50 : 25,424,205 = 25,424,205 : x
  2. Step 2: Convert to fraction form
    11,683,463.50/25,424,205 = 25,424,205/x
  3. Step 3: Cross multiply
    11,683,463.50x = 25,424,205 × 25,424,205
  4. Step 4: Simplify right side
    11,683,463.50x = 646,390,199,882,025
  5. Step 5: Solve for x
    x = 646,390,199,882,025/11,683,463.50
  6. Step 6: Final answer
    x = 55,325,220.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.