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Finding the Third Proportional to 5,338,148.06 and 8,082,073.69

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Solution

The third proportional to 5,338,148.06 and 8,082,073.69 is: 12,236,437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338,148.06 : 8,082,073.69 = 8,082,073.69 : x
  2. Step 2: Convert to fraction form
    5,338,148.06/8,082,073.69 = 8,082,073.69/x
  3. Step 3: Cross multiply
    5,338,148.06x = 8,082,073.69 × 8,082,073.69
  4. Step 4: Simplify right side
    5,338,148.06x = 65,319,915,090,179.84
  5. Step 5: Solve for x
    x = 65,319,915,090,179.84/5,338,148.06
  6. Step 6: Final answer
    x = 12,236,437.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.