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Finding the Third Proportional to 5,149,700.25 and 7,790,828.25

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Solution

The third proportional to 5,149,700.25 and 7,790,828.25 is: 11,786,512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149,700.25 : 7,790,828.25 = 7,790,828.25 : x
  2. Step 2: Convert to fraction form
    5,149,700.25/7,790,828.25 = 7,790,828.25/x
  3. Step 3: Cross multiply
    5,149,700.25x = 7,790,828.25 × 7,790,828.25
  4. Step 4: Simplify right side
    5,149,700.25x = 60,697,004,820,998.06
  5. Step 5: Solve for x
    x = 60,697,004,820,998.06/5,149,700.25
  6. Step 6: Final answer
    x = 11,786,512.20

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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.