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Finding the Third Proportional to 1,866,516,369.75 and 3,999,265,796.25

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Solution

The third proportional to 1,866,516,369.75 and 3,999,265,796.25 is: 8,568,972,213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866,516,369.75 : 3,999,265,796.25 = 3,999,265,796.25 : x
  2. Step 2: Convert to fraction form
    1,866,516,369.75/3,999,265,796.25 = 3,999,265,796.25/x
  3. Step 3: Cross multiply
    1,866,516,369.75x = 3,999,265,796.25 × 3,999,265,796.25
  4. Step 4: Simplify right side
    1,866,516,369.75x = 15,994,126,909,055,145,984
  5. Step 5: Solve for x
    x = 15,994,126,909,055,145,984/1,866,516,369.75
  6. Step 6: Final answer
    x = 8,568,972,213.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.