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Finding the Third Proportional to 7,289,138.25 and 15,747,259.50

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Solution

The third proportional to 7,289,138.25 and 15,747,259.50 is: 34,019,958.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289,138.25 : 15,747,259.50 = 15,747,259.50 : x
  2. Step 2: Convert to fraction form
    7,289,138.25/15,747,259.50 = 15,747,259.50/x
  3. Step 3: Cross multiply
    7,289,138.25x = 15,747,259.50 × 15,747,259.50
  4. Step 4: Simplify right side
    7,289,138.25x = 247,976,181,760,340.25
  5. Step 5: Solve for x
    x = 247,976,181,760,340.25/7,289,138.25
  6. Step 6: Final answer
    x = 34,019,958.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.