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Finding the Third Proportional to 4,137,409.13 and 6,422,626.69

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Solution

The third proportional to 4,137,409.13 and 6,422,626.69 is: 9,970,039.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137,409.13 : 6,422,626.69 = 6,422,626.69 : x
  2. Step 2: Convert to fraction form
    4,137,409.13/6,422,626.69 = 6,422,626.69/x
  3. Step 3: Cross multiply
    4,137,409.13x = 6,422,626.69 × 6,422,626.69
  4. Step 4: Simplify right side
    4,137,409.13x = 41,250,133,566,987.22
  5. Step 5: Solve for x
    x = 41,250,133,566,987.22/4,137,409.13
  6. Step 6: Final answer
    x = 9,970,039.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.