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Finding the Third Proportional to 7,248,120.75 and 10,138,703.25

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Solution

The third proportional to 7,248,120.75 and 10,138,703.25 is: 14,182,062.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,248,120.75 : 10,138,703.25 = 10,138,703.25 : x
  2. Step 2: Convert to fraction form
    7,248,120.75/10,138,703.25 = 10,138,703.25/x
  3. Step 3: Cross multiply
    7,248,120.75x = 10,138,703.25 × 10,138,703.25
  4. Step 4: Simplify right side
    7,248,120.75x = 102,793,303,591,560.56
  5. Step 5: Solve for x
    x = 102,793,303,591,560.56/7,248,120.75
  6. Step 6: Final answer
    x = 14,182,062.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.