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Finding the Third Proportional to 3,207,626.58 and 6,642,620.16

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Solution

The third proportional to 3,207,626.58 and 6,642,620.16 is: 13,756,090.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207,626.58 : 6,642,620.16 = 6,642,620.16 : x
  2. Step 2: Convert to fraction form
    3,207,626.58/6,642,620.16 = 6,642,620.16/x
  3. Step 3: Cross multiply
    3,207,626.58x = 6,642,620.16 × 6,642,620.16
  4. Step 4: Simplify right side
    3,207,626.58x = 44,124,402,540,218.77
  5. Step 5: Solve for x
    x = 44,124,402,540,218.77/3,207,626.58
  6. Step 6: Final answer
    x = 13,756,090.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.