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Finding the Third Proportional to 5,497,917.75 and 7,229,750.06

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Solution

The third proportional to 5,497,917.75 and 7,229,750.06 is: 9,507,105.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497,917.75 : 7,229,750.06 = 7,229,750.06 : x
  2. Step 2: Convert to fraction form
    5,497,917.75/7,229,750.06 = 7,229,750.06/x
  3. Step 3: Cross multiply
    5,497,917.75x = 7,229,750.06 × 7,229,750.06
  4. Step 4: Simplify right side
    5,497,917.75x = 52,269,285,966,218.75
  5. Step 5: Solve for x
    x = 52,269,285,966,218.75/5,497,917.75
  6. Step 6: Final answer
    x = 9,507,105.84

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.