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Finding the Third Proportional to 2,950,285.50 and 6,419,710.13

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Solution

The third proportional to 2,950,285.50 and 6,419,710.13 is: 13,969,047.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950,285.50 : 6,419,710.13 = 6,419,710.13 : x
  2. Step 2: Convert to fraction form
    2,950,285.50/6,419,710.13 = 6,419,710.13/x
  3. Step 3: Cross multiply
    2,950,285.50x = 6,419,710.13 × 6,419,710.13
  4. Step 4: Simplify right side
    2,950,285.50x = 41,212,678,089,027.52
  5. Step 5: Solve for x
    x = 41,212,678,089,027.52/2,950,285.50
  6. Step 6: Final answer
    x = 13,969,047.43

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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.