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Finding the Third Proportional to 378,957,352 and 829,238,922

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Solution

The third proportional to 378,957,352 and 829,238,922 is: 1,814,550,334.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,957,352 : 829,238,922 = 829,238,922 : x
  2. Step 2: Convert to fraction form
    378,957,352/829,238,922 = 829,238,922/x
  3. Step 3: Cross multiply
    378,957,352x = 829,238,922 × 829,238,922
  4. Step 4: Simplify right side
    378,957,352x = 687,637,189,759,722,112
  5. Step 5: Solve for x
    x = 687,637,189,759,722,112/378,957,352
  6. Step 6: Final answer
    x = 1,814,550,334.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.