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Finding the Third Proportional to 11,683,464.50 and 25,424,207

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Solution

The third proportional to 11,683,464.50 and 25,424,207 is: 55,325,224.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683,464.50 : 25,424,207 = 25,424,207 : x
  2. Step 2: Convert to fraction form
    11,683,464.50/25,424,207 = 25,424,207/x
  3. Step 3: Cross multiply
    11,683,464.50x = 25,424,207 × 25,424,207
  4. Step 4: Simplify right side
    11,683,464.50x = 646,390,301,578,849
  5. Step 5: Solve for x
    x = 646,390,301,578,849/11,683,464.50
  6. Step 6: Final answer
    x = 55,325,224.94

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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.