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Finding the Third Proportional to 7,204,650 and 15,738,991.50

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Solution

The third proportional to 7,204,650 and 15,738,991.50 is: 34,382,774.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204,650 : 15,738,991.50 = 15,738,991.50 : x
  2. Step 2: Convert to fraction form
    7,204,650/15,738,991.50 = 15,738,991.50/x
  3. Step 3: Cross multiply
    7,204,650x = 15,738,991.50 × 15,738,991.50
  4. Step 4: Simplify right side
    7,204,650x = 247,715,853,437,072.25
  5. Step 5: Solve for x
    x = 247,715,853,437,072.25/7,204,650
  6. Step 6: Final answer
    x = 34,382,774.10

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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.