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Finding the Third Proportional to 1,866,516,361.88 and 3,999,265,781.63

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Solution

The third proportional to 1,866,516,361.88 and 3,999,265,781.63 is: 8,568,972,187.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866,516,361.88 : 3,999,265,781.63 = 3,999,265,781.63 : x
  2. Step 2: Convert to fraction form
    1,866,516,361.88/3,999,265,781.63 = 3,999,265,781.63/x
  3. Step 3: Cross multiply
    1,866,516,361.88x = 3,999,265,781.63 × 3,999,265,781.63
  4. Step 4: Simplify right side
    1,866,516,361.88x = 15,994,126,792,076,621,824
  5. Step 5: Solve for x
    x = 15,994,126,792,076,621,824/1,866,516,361.88
  6. Step 6: Final answer
    x = 8,568,972,187.32

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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.