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Finding the Third Proportional to 185,001,669 and 411,366,780

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Solution

The third proportional to 185,001,669 and 411,366,780 is: 914,708,654.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,001,669 : 411,366,780 = 411,366,780 : x
  2. Step 2: Convert to fraction form
    185,001,669/411,366,780 = 411,366,780/x
  3. Step 3: Cross multiply
    185,001,669x = 411,366,780 × 411,366,780
  4. Step 4: Simplify right side
    185,001,669x = 169,222,627,687,568,384
  5. Step 5: Solve for x
    x = 169,222,627,687,568,384/185,001,669
  6. Step 6: Final answer
    x = 914,708,654.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.