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Finding the Third Proportional to 5,145,446.74 and 7,055,382.23

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Solution

The third proportional to 5,145,446.74 and 7,055,382.23 is: 9,674,265.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145,446.74 : 7,055,382.23 = 7,055,382.23 : x
  2. Step 2: Convert to fraction form
    5,145,446.74/7,055,382.23 = 7,055,382.23/x
  3. Step 3: Cross multiply
    5,145,446.74x = 7,055,382.23 × 7,055,382.23
  4. Step 4: Simplify right side
    5,145,446.74x = 49,778,418,473,134.37
  5. Step 5: Solve for x
    x = 49,778,418,473,134.37/5,145,446.74
  6. Step 6: Final answer
    x = 9,674,265.61

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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.