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Finding the Third Proportional to 5,342,009.48 and 8,276,906.53

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Solution

The third proportional to 5,342,009.48 and 8,276,906.53 is: 12,824,234.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342,009.48 : 8,276,906.53 = 8,276,906.53 : x
  2. Step 2: Convert to fraction form
    5,342,009.48/8,276,906.53 = 8,276,906.53/x
  3. Step 3: Cross multiply
    5,342,009.48x = 8,276,906.53 × 8,276,906.53
  4. Step 4: Simplify right side
    5,342,009.48x = 68,507,181,727,048.91
  5. Step 5: Solve for x
    x = 68,507,181,727,048.91/5,342,009.48
  6. Step 6: Final answer
    x = 12,824,234.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.