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Finding the Third Proportional to 4,003,645.22 and 8,291,201.77

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Solution

The third proportional to 4,003,645.22 and 8,291,201.77 is: 17,170,359.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003,645.22 : 8,291,201.77 = 8,291,201.77 : x
  2. Step 2: Convert to fraction form
    4,003,645.22/8,291,201.77 = 8,291,201.77/x
  3. Step 3: Cross multiply
    4,003,645.22x = 8,291,201.77 × 8,291,201.77
  4. Step 4: Simplify right side
    4,003,645.22x = 68,744,026,718,303.12
  5. Step 5: Solve for x
    x = 68,744,026,718,303.12/4,003,645.22
  6. Step 6: Final answer
    x = 17,170,359.25

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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.