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Finding the Third Proportional to 11,831,701 and 18,174,947

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Solution

The third proportional to 11,831,701 and 18,174,947 is: 27,918,952.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831,701 : 18,174,947 = 18,174,947 : x
  2. Step 2: Convert to fraction form
    11,831,701/18,174,947 = 18,174,947/x
  3. Step 3: Cross multiply
    11,831,701x = 18,174,947 × 18,174,947
  4. Step 4: Simplify right side
    11,831,701x = 330,328,698,452,809
  5. Step 5: Solve for x
    x = 330,328,698,452,809/11,831,701
  6. Step 6: Final answer
    x = 27,918,952.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.