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Finding the Third Proportional to 9,631,398 and 13,206,987

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Solution

The third proportional to 9,631,398 and 13,206,987 is: 18,109,988.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,631,398 : 13,206,987 = 13,206,987 : x
  2. Step 2: Convert to fraction form
    9,631,398/13,206,987 = 13,206,987/x
  3. Step 3: Cross multiply
    9,631,398x = 13,206,987 × 13,206,987
  4. Step 4: Simplify right side
    9,631,398x = 174,424,505,618,169
  5. Step 5: Solve for x
    x = 174,424,505,618,169/9,631,398
  6. Step 6: Final answer
    x = 18,109,988.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.