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Finding the Third Proportional to 730,777,706 and 1,705,206,906.25

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Solution

The third proportional to 730,777,706 and 1,705,206,906.25 is: 3,978,953,612.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,777,706 : 1,705,206,906.25 = 1,705,206,906.25 : x
  2. Step 2: Convert to fraction form
    730,777,706/1,705,206,906.25 = 1,705,206,906.25/x
  3. Step 3: Cross multiply
    730,777,706x = 1,705,206,906.25 × 1,705,206,906.25
  4. Step 4: Simplify right side
    730,777,706x = 2,907,730,593,122,696,192
  5. Step 5: Solve for x
    x = 2,907,730,593,122,696,192/730,777,706
  6. Step 6: Final answer
    x = 3,978,953,612.36

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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.