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Finding the Third Proportional to 730,777,864 and 1,705,207,243

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Solution

The third proportional to 730,777,864 and 1,705,207,243 is: 3,978,954,323.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,777,864 : 1,705,207,243 = 1,705,207,243 : x
  2. Step 2: Convert to fraction form
    730,777,864/1,705,207,243 = 1,705,207,243/x
  3. Step 3: Cross multiply
    730,777,864x = 1,705,207,243 × 1,705,207,243
  4. Step 4: Simplify right side
    730,777,864x = 2,907,731,741,579,660,800
  5. Step 5: Solve for x
    x = 2,907,731,741,579,660,800/730,777,864
  6. Step 6: Final answer
    x = 3,978,954,323.64

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.