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Finding the Third Proportional to 188,842,307 and 406,382,424

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Solution

The third proportional to 188,842,307 and 406,382,424 is: 874,521,589.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,842,307 : 406,382,424 = 406,382,424 : x
  2. Step 2: Convert to fraction form
    188,842,307/406,382,424 = 406,382,424/x
  3. Step 3: Cross multiply
    188,842,307x = 406,382,424 × 406,382,424
  4. Step 4: Simplify right side
    188,842,307x = 165,146,674,536,115,776
  5. Step 5: Solve for x
    x = 165,146,674,536,115,776/188,842,307
  6. Step 6: Final answer
    x = 874,521,589.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.