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Finding the Third Proportional to 8,052,759 and 12,196,352.25

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Solution

The third proportional to 8,052,759 and 12,196,352.25 is: 18,472,055.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052,759 : 12,196,352.25 = 12,196,352.25 : x
  2. Step 2: Convert to fraction form
    8,052,759/12,196,352.25 = 12,196,352.25/x
  3. Step 3: Cross multiply
    8,052,759x = 12,196,352.25 × 12,196,352.25
  4. Step 4: Simplify right side
    8,052,759x = 148,751,008,206,080.06
  5. Step 5: Solve for x
    x = 148,751,008,206,080.06/8,052,759
  6. Step 6: Final answer
    x = 18,472,055.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.