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Finding the Third Proportional to 730,777,708 and 1,705,206,918

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Solution

The third proportional to 730,777,708 and 1,705,206,918 is: 3,978,953,656.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,777,708 : 1,705,206,918 = 1,705,206,918 : x
  2. Step 2: Convert to fraction form
    730,777,708/1,705,206,918 = 1,705,206,918/x
  3. Step 3: Cross multiply
    730,777,708x = 1,705,206,918 × 1,705,206,918
  4. Step 4: Simplify right side
    730,777,708x = 2,907,730,633,195,058,688
  5. Step 5: Solve for x
    x = 2,907,730,633,195,058,688/730,777,708
  6. Step 6: Final answer
    x = 3,978,953,656.31

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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.