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Finding the Third Proportional to 9,209,116.50 and 20,052,016.50

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Solution

The third proportional to 9,209,116.50 and 20,052,016.50 is: 43,661,448.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209,116.50 : 20,052,016.50 = 20,052,016.50 : x
  2. Step 2: Convert to fraction form
    9,209,116.50/20,052,016.50 = 20,052,016.50/x
  3. Step 3: Cross multiply
    9,209,116.50x = 20,052,016.50 × 20,052,016.50
  4. Step 4: Simplify right side
    9,209,116.50x = 402,083,365,716,272.25
  5. Step 5: Solve for x
    x = 402,083,365,716,272.25/9,209,116.50
  6. Step 6: Final answer
    x = 43,661,448.49

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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.