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Finding the Third Proportional to 188,842,311 and 406,382,432

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Solution

The third proportional to 188,842,311 and 406,382,432 is: 874,521,605.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,842,311 : 406,382,432 = 406,382,432 : x
  2. Step 2: Convert to fraction form
    188,842,311/406,382,432 = 406,382,432/x
  3. Step 3: Cross multiply
    188,842,311x = 406,382,432 × 406,382,432
  4. Step 4: Simplify right side
    188,842,311x = 165,146,681,038,234,624
  5. Step 5: Solve for x
    x = 165,146,681,038,234,624/188,842,311
  6. Step 6: Final answer
    x = 874,521,605.69

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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.