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Finding the Third Proportional to 4,206,375,255 and 9,084,365,161.50

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Solution

The third proportional to 4,206,375,255 and 9,084,365,161.50 is: 19,619,193,577.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206,375,255 : 9,084,365,161.50 = 9,084,365,161.50 : x
  2. Step 2: Convert to fraction form
    4,206,375,255/9,084,365,161.50 = 9,084,365,161.50/x
  3. Step 3: Cross multiply
    4,206,375,255x = 9,084,365,161.50 × 9,084,365,161.50
  4. Step 4: Simplify right side
    4,206,375,255x = 82,525,690,387,474,923,520
  5. Step 5: Solve for x
    x = 82,525,690,387,474,923,520/4,206,375,255
  6. Step 6: Final answer
    x = 19,619,193,577.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.