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Finding the Third Proportional to 1,478,775,712 and 3,204,138,144

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Solution

The third proportional to 1,478,775,712 and 3,204,138,144 is: 6,942,568,208.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478,775,712 : 3,204,138,144 = 3,204,138,144 : x
  2. Step 2: Convert to fraction form
    1,478,775,712/3,204,138,144 = 3,204,138,144/x
  3. Step 3: Cross multiply
    1,478,775,712x = 3,204,138,144 × 3,204,138,144
  4. Step 4: Simplify right side
    1,478,775,712x = 10,266,501,245,835,763,712
  5. Step 5: Solve for x
    x = 10,266,501,245,835,763,712/1,478,775,712
  6. Step 6: Final answer
    x = 6,942,568,208.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.