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Finding the Third Proportional to 511,095,694 and 1,111,740,668

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Solution

The third proportional to 511,095,694 and 1,111,740,668 is: 2,418,269,861.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,095,694 : 1,111,740,668 = 1,111,740,668 : x
  2. Step 2: Convert to fraction form
    511,095,694/1,111,740,668 = 1,111,740,668/x
  3. Step 3: Cross multiply
    511,095,694x = 1,111,740,668 × 1,111,740,668
  4. Step 4: Simplify right side
    511,095,694x = 1,235,967,312,885,086,208
  5. Step 5: Solve for x
    x = 1,235,967,312,885,086,208/511,095,694
  6. Step 6: Final answer
    x = 2,418,269,861.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.