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Finding the Third Proportional to 9,631,396.13 and 13,206,984.19

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Solution

The third proportional to 9,631,396.13 and 13,206,984.19 is: 18,109,984.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,631,396.13 : 13,206,984.19 = 13,206,984.19 : x
  2. Step 2: Convert to fraction form
    9,631,396.13/13,206,984.19 = 13,206,984.19/x
  3. Step 3: Cross multiply
    9,631,396.13x = 13,206,984.19 × 13,206,984.19
  4. Step 4: Simplify right side
    9,631,396.13x = 174,424,431,328,875.03
  5. Step 5: Solve for x
    x = 174,424,431,328,875.03/9,631,396.13
  6. Step 6: Final answer
    x = 18,109,984.17

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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.