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Finding the Third Proportional to 1,245,664,830 and 1,751,944,238

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Solution

The third proportional to 1,245,664,830 and 1,751,944,238 is: 2,463,992,351.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245,664,830 : 1,751,944,238 = 1,751,944,238 : x
  2. Step 2: Convert to fraction form
    1,245,664,830/1,751,944,238 = 1,751,944,238/x
  3. Step 3: Cross multiply
    1,245,664,830x = 1,751,944,238 × 1,751,944,238
  4. Step 4: Simplify right side
    1,245,664,830x = 3,069,308,613,061,400,576
  5. Step 5: Solve for x
    x = 3,069,308,613,061,400,576/1,245,664,830
  6. Step 6: Final answer
    x = 2,463,992,351.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.