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Finding the Third Proportional to 5,145,465.50 and 7,055,405

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Solution

The third proportional to 5,145,465.50 and 7,055,405 is: 9,674,292.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145,465.50 : 7,055,405 = 7,055,405 : x
  2. Step 2: Convert to fraction form
    5,145,465.50/7,055,405 = 7,055,405/x
  3. Step 3: Cross multiply
    5,145,465.50x = 7,055,405 × 7,055,405
  4. Step 4: Simplify right side
    5,145,465.50x = 49,778,739,714,025
  5. Step 5: Solve for x
    x = 49,778,739,714,025/5,145,465.50
  6. Step 6: Final answer
    x = 9,674,292.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.