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Finding the Third Proportional to 3,003,138 and 6,478,704

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Solution

The third proportional to 3,003,138 and 6,478,704 is: 13,976,582.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003,138 : 6,478,704 = 6,478,704 : x
  2. Step 2: Convert to fraction form
    3,003,138/6,478,704 = 6,478,704/x
  3. Step 3: Cross multiply
    3,003,138x = 6,478,704 × 6,478,704
  4. Step 4: Simplify right side
    3,003,138x = 41,973,605,519,616
  5. Step 5: Solve for x
    x = 41,973,605,519,616/3,003,138
  6. Step 6: Final answer
    x = 13,976,582.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.