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Finding the Third Proportional to 5,496,545.25 and 8,080,610.63

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Solution

The third proportional to 5,496,545.25 and 8,080,610.63 is: 11,879,510.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496,545.25 : 8,080,610.63 = 8,080,610.63 : x
  2. Step 2: Convert to fraction form
    5,496,545.25/8,080,610.63 = 8,080,610.63/x
  3. Step 3: Cross multiply
    5,496,545.25x = 8,080,610.63 × 8,080,610.63
  4. Step 4: Simplify right side
    5,496,545.25x = 65,296,268,072,862.89
  5. Step 5: Solve for x
    x = 65,296,268,072,862.89/5,496,545.25
  6. Step 6: Final answer
    x = 11,879,510.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.